The Impact of Melamine Spiking on the Gel Strength and Viscosity of Gelatin

Size: px
Start display at page:

Download "The Impact of Melamine Spiking on the Gel Strength and Viscosity of Gelatin"

Transcription

1 The Impact of Melamine Spiking on the and of atin Introduction The primary purpose of this research was to assess the impact of melamine spiking on the gel strength and viscosity of gelatin. A secondary purpose of this study was to demonstrate whether or not observable physical characteristics of dry gelatin and gelatin in liquid suspension were impacted by the presence of melamine in the mix. To this end, the study assessed the effects of melamine spiking at 0, 5, 10 and 16% levels. With respect to the primary purpose, the null hypothesis to be tested statistically is H 0 : β 1 0, where β 1 is the change in the visco-elastic properties (gel strength and viscosity) of gelatin per unit increase of melamine. Therefore, the alternative hypothesis to be tested, represented by H 1 : β 1 < 0, is that the addition of melamine diminishes these visco-elastic properties. The secondary purpose of the study will be assessed via several exhibits of photographs of the spiked gelatin in the dry state and the liquid suspension state taken in the laboratories where the experiments were conducted. The protocol for the study design, including the statistical analysis, has been previously reviewed and commented upon by the FDA. A copy of that approved protocol is attached and thus the design and testing procedures of the study are not being represented here. Standardized samples of the three pharmaceutical gelatin types derived from bovine bone, bovine hide, and porcine skin were prepared with each sample being split into three equal portions and distributed to the three testing laboratories involved in the study, i.e., Nitta in Japan, ita in Germany and Rousselot in the United States. All testing was conducted in March/April Collected raw data and photos were sent to GMIA which compiled the data and analyzed these data for statistical significance. Experimental Design Summary Table 1 indicates the experimental design, listing the three types of gelatin, the three participating laboratories, and the melamine spiking levels. For each of three laboratories, three gel types were tested. For all nine combinations of lab and gel type, four melamine levels were tested, for a total of 3 x 3 x 4 = 36 tests. Each of these 36 tests was replicated. At melamine level zero, each test was performed 5 times in order to establish a repeatability measure. The other three melamine levels were tested 3 times. This resulted in a total of 9 x14 = 126 tests. Table 1. Experimental Design Three Laboratories Three Types ita Nitta Rousselot For 9 lab/gel pairs, four melamine levels 0 % 5 % 10 % 16 % Porcine Bovine bone Bovine hide 1

2 Results and Discussion of Data Data Box plots provide an initial view of the data, and are presented below. Tabulation of raw data by gel type can be observed in Appendix Tables 1-3. Figure 1. Box Plots of vs. Melamine, by Laboratory and Type Type=Porcine Box Plot of grouped by Mel-Pct; categorized by Lab Exclude condition: NOT( "-Type" = 101 ) Type=Bov-Bone Box Plot of grouped by Mel-Pct; categorized by Lab Exclude condition: NOT( "-Type" = 102 ) Type=Bov-Hide Box Plot of grouped by Mel-Pct; categorized by Lab Exclude condition: NOT( "-Type" = 103 ) Lab: GELITA Lab: Nitta Lab: Rousselot Mel-Pct Median 25%-75% Non-Outlier Range Outliers Extremes Lab: GELITA Lab: Nitta Lab: Rousselot Mel-Pct Median 25%-75% Non-Outlier Range Outliers Extremes Lab: GELITA Lab: Nitta Lab: Rousselot Mel-Pct Median 25%-75% Non-Outlier Range Outliers Extremes Plots shown in Figure 1 demonstrate a high level of consistency within each laboratory, as well as consistency among laboratories. The plots also show the different gel strength levels among gel types, and the clearly negative impact of melamine level on gel strength. Box plots for viscosity, shown in Figure 2, indicate similar trends in results for viscosity testing, i.e., consistency within and across laboratories, differences among gel types, and the clearly negative impact of melamine on viscosity. Figure 2. Box Plots of vs. Melamine, by Laboratory and Type Type=Porcine Box Plot of grouped by Mel-Pct; categorized by Lab Exclude condition: NOT( "-Type" = 101 ) Type=Bov-Bone Box Plot of grouped by Mel-Pct; categorized by Lab Exclude condition: NOT( "-Type" = 102 ) Type=Bov-Hide Box Plot of grouped by Mel-Pct; categorized by Lab Exclude condition: NOT( "-Type" = 103 ) Lab: GELITA Lab: Nitta Lab: Rousselot Mel-Pct Median 25%-75% Non-Outlier Range Outliers Extremes Lab: GELITA Lab: Nitta Lab: Rousselot Mel-Pct Median 25%-75% Non-Outlier Range Outliers Extremes Lab: GELITA Lab: Nitta Lab: Rousselot Mel-Pct Median 25%-75% Non-Outlier Range Outliers Extremes Repeatability and Reproducibility Repeatability, representing the ability of a single lab to obtain repeatable measurements on the same sample, is the smallest measure of variability while reproducibility, representing the ability of separate labs to obtain repeatable measurements when those measurements are taken on the same sample by different labs, is the larger measure of variability. The repeatability and reproducibility of this study are expressed in standard deviations which measure the average distance that a measurement will fall from its respective mean value. Reproducibility was assessed using the melamine-free samples, of which five measurements were taken by each of three labs on each of three gelatin types, giving a set of 45 tests. Table 2 gives lab means and standard deviations for each of the three gels. These results indicate some systematic differences among the labs where, for every gel type, ita measurements are a bit greater than Rousselot s, and 2

3 Nitta reported smaller averages for each gel type. However, these observed differences lacked statistical significance. Table 2. Intra-laboratory means and Repeatability Standard Deviations for Porcine Bovine Bone Bovine Hide Lab Mean Std Dev Mean Std Dev Mean Std Dev ita g g g 1.76 Rousselot g g g 0.45 Nitta g g g 1.10 The table of means and standard deviations for viscosity are provided in Table 3. Here again, while there was some variation among laboratories with Nitta again reporting lower averages, the differences were not statistically significant. Table 3. Intra-laboratory means and Repeatability Standard Deviations for Porcine Bovine Bone Bovine Hide Lab Mean Std Dev Mean Std Dev Mean Std Dev ita 31.24mps mps mps Rousselot 31.12mps mps mps Nitta 30.48mps mps mps The inter-laboratory reproducibility results, obtained by pooling the three labs together, are provided in Table 4. This table gives the means and standard deviations of gel strength and viscosity for all labs. Table 4. Inter-laboratory means and Reproducibility Standard Deviations for and Porcine Bovine Bone Bovine Hide Lab Mean Std Dev Mean Std Dev Mean Std Dev g g g mps mps mps The inter-laboratory reproducibility standard deviations are somewhat larger than the repeatability standard deviations, reflecting the fact that they have absorbed the small differences among the labs. These reproducibility standard deviations are very small compared to the observed differences in gel strength and viscosity among the melamine spiking levels depicted in Figures 1 and 2. This comparison clearly shows the significant negative effect of melamine. Regression Analysis Statistical modeling employs independent observations. Since the set of 126 individual tests were not independent, as these were repeat tests on the same object, the data analysis was performed on the smaller set of individual treatment means, 3 x 3 x 4 = 36 total results. The issue of the potential differences among laboratories was resolved using analysis of covariance (ANCOVA).This analysis modeled the quantitative responses, i.e., gel strength and viscosity, as a function of both the quantitative variables, i.e., melamine levels, and qualitative variables, i.e., laboratory and gel type. Thus, melamine levels were treated as a measurement variable, while the other two 3

4 predictors, gel type and laboratory, are categorical. Additionally, the potential interaction between laboratory and gel type was examined. Table 5 contains the results of this initial analysis. Significant effects are indicated by red text with the statistical importance of each effect shown by t values or by the p values. The insignificant effects are laboratory and laboratory by gel type interactions, while statistically significant effects for both gel strength and viscosity are clearly gel type and melamine content. This unquestionably shows that the variations of both gel strength and viscosity are determined by the gel type and melamine content alone. Table 5. Analysis of Covariance Results for and 0Parameter Estimates Level of Effect Effect Param. Std.Err t p Param. Std.Err t p Intercept Mel-Pct 0GELITA Lab*-Type Lab Lab Rousselot Type Porcine Type 0Bov-Bone Lab*-Type Lab*-Type Lab*-Type The data were further analyzed using linear regression, fitting a measurement response (gel strength and viscosity) versus measurement variables. Initial regressions allowed the possibility of separate equations for gel properties versus melamine. These regressions established that there are no differences between the equations for lab type. The coefficient tables for these tests are given in Table 6. Table 6. Linear Regression Result for and N=36 2Intercept GELITA Nitta BBone BHide Mel-Pct N_Mel G_Mel Regression Summary for R²=.979 Std.Error of estimate: 8.76 b Std.Err. t(28) p-value of b N=36 3Intercept GELITA Nitta BBone BHide -Mel-Pct N_Mel G_Mel Regression Summary for R²=.9932 Std.Error of estimate:.596 b Std.Err. t(28) p-value of b In these tables, the variables GELITA and Nitta represent shifts in the intercepts (averages for zero melamine samples), and N_Mel and G_Mel represent offsets to the slopes of the responses with respect to melamine. Any differences among the laboratories in the equations relating gel properties to melamine would be revealed by the t tests. In fact, there are no significant differences among the laboratories for either response. However, as indicated in Table 6, there are significant differences among the three gel types. After all of these considerations, there is no evidence at all of any significant inter-laboratory differences for either response. Final analysis therefore only uses gel type and percent melamine as predictors. 4

5 Model for An initial model for gel strength indicates that the relationship to melamine is not linear. While the true behavior is probably exponential, a simple quadratic term in melamine was added. The final model for gel strength is given below. Table 7. Regression Summary for with Inter-Laboratory Variable Removed Regression Summary for R²=.9862, Std.Error of estimate: b Std.Err. t(32) p-value N= of 2.2b Intercept BHide Mel-Pct MPsq This regression equation for gel strength depends on the gel type. For porcine and bovine bone gels, the relationship is: = Mel Mel 2 For bovine hide gel, the equation is: = ( ) 7.32 Mel Mel 2 = Mel Mel 2 The difference in the intercepts indicates that the gel strength measurements for bovine hide average about 96 less than for the other two gel types. Extrapolating from this, one can estimate that the curvature of gel strength with respect to melamine would not bottom out until melamine spiking reached levels of over 20%. Actual experience could possibly reveal that strength never bottoms out. Model for There were significant differences among all three gel types for viscosity. However, there was no indication of curvature in this model, thus indicating a constant decrease in viscosity per unit increase in melamine. The final results for viscosity are given in Table 8. Table 8. Regression Summary for with Inter-Laboratory Variable Removed Regression Summary for R²=.9918 Std.Error of estimate: b Std.Err. t(32) p-value N= of 0.b Intercept BBone BHide Mel-Pct The viscosity regression equations for different gel types are: Porcine gel: Bovine bone gel: Bovine hide gel: = Mel = ( ) 0.44 Mel = Mel = ( ) 0.44 Mel = Mel 5

6 Residuals To fully complete the model estimations, an examination of the residuals, consisting of several plots of residuals versus deleted residuals, was conducted. These plots are available upon request. In summary, these various diagnostic plots indicated no departures from the regression model assumptions of normally distributed errors and constant variability for either response variable. Nor did the plots indicate any serious deficiencies in the assumption of linear fit to melamine for viscosity, nor the quadratic model for gel strength. Dilution versus Supra-Dilution Impacts of Melamine One final question deals with the type of deleterious effect that melamine has on gelatin properties. If the negative impact results from a pure dilution effect, we would expect the gelatin properties to decline in proportion to the decline in gelatin percentage. That is, if the impact is from dilution only, then a mixture that it 95% gelatin and 5% melamine would exhibit 95% of the gel strength or viscosity of a pure gelatin. The plot in Figure 3 shows that simple dilution is a reasonable model for viscosity. Median viscosity for the 95% gelatin mixture is about 95% of the viscosity of pure gelatin, and is only slightly lower than pure dilution for the 90% and 84% gelatin mixtures. As indicated by Figure 3, losses of gel strength are far greater than mere dilution proportionality suggests. Median gel strength is less than 90% for the 95% gelatin mixture, about 76% for the 90% mixture, and 72% for the 84% mixture. Figure 3. Box Plots of (%) versus atin (%) and (%) versus atin (%) 105 Box Plot of (%) versus atin (%) 102 Box Plot of (%) versus atin (%) (%) (%) atin (%) Median 25%-75% Non-Outlier Range Outliers Extremes atin (%) Median 25%-75% Non-Outlier Range Outliers Extremes Plots in Figure 3 also demonstrate that the addition of melamine increases the variability of gel strength and viscosity, evidenced by the wider box plots for spiked samples. Therefore, not only does melamine have a deleterious impact on the mean levels of these properties, but the presence of melamine also increases production risk by providing for inconsistencies in product produced. Results and Discussion of Physical Observations While less scientific in approach, useful information about the impact of melamine spiking on gelatin can be obtained from observation of test samples in the laboratory. Several exhibits of photographs from the various laboratories conducting the research follow. 6

7 Exhibit 1. Melamine Powder in Original Container Exhibit 1 shows the physical appearance of pure melamine while Exhibit 2 shows a typical dry mixture of gelatin and melamine. As evidenced in Exhibit 2, the presence of melamine in gelatin would be easily observed in the dry state because melamine is a bright white, fine grained substance, while gelatin is a more yellowish color and has, in the vast majority of instances, a coarser granulation than melamine. Exhibit 2. Dry Mixture of Melamine and atin 7

8 The first step in preparing gelatin for use in manufacturing either hard or soft capsules is to mix the gelatin with water, thus forming a liquid suspension. Exhibit 3 shows a photograph of liquid suspensions in which there is 0% melamine, 5%, 10% and 16% melamine spiking. As is evident in these photographs, the presence of melamine whitens the appearance of the suspension due to un-dissolved crystals. Exhibit 3. atin and Melamine/atin Mixture at 5, 10 and 16% Spiking Levels In Liquid Suspension Prior to Heating After melamine spiked gelatin is heated, the samples are chilled to produce solid gels (as is done when capsules are formed). The melamine appears in the cooled solid gel as white dots or crystals suspended in the gel, which actually are re-crystallized melamine that was un-dissolved in the solution. These white dots or crystals are best seen by viewing the bottom of bloom jars (see Exhibits 4 through 6). The evidence of the presence of melamine begins to appear at the 5% level of contamination, and it is more clearly seen at the 10% and higher levels of contamination. Further, this evidence is apparent whether the gel is of bovine bone, porcine skin, or bovine hide origin. 8

9 Exhibit 4. Bovine Bone atin and Melamine/Bovine Bone atin Mixtures at 5, 10, and 16% Spiking Levels After Heating then Chilling (bottom of the bloom jars). Exhibit 5. Melamine/Pig Skin atin Mixtures at 10 and 16% Spiking Levels After Heating then Chilling (bottom of the bloom jars). 9

10 Exhibit 6. Bovine Hide atin and Melamine/Bovine Hide atin Mixtures at 5, 10, and 16% Spiking levels After Heating then Chilling (bottom of the bloom jars). 10

11 Finally, as demonstrated by the photograph in Exhibit 7, the crystallization/re-crystallization of melamine increases over the time span of one week storage in gel form. Exhibit 7. atin after Storage in Refrigerator for One Day (left) and One Week (right) - 10% Melamine Spiking Conclusions This research study evaluating the effect of melamine spiking on the visco-elastic properties of gelatin clearly shows that both gel strength and viscosity are negatively impacted by melamine additions. Therefore, the null hypothesis that the addition of melamine to gelatin has no effect on the visco-elastic properties of gelatin is rejected while the alternative hypothesis is accepted. More specifically, statistical analysis of the experimental data showed that there was a highly significant negative relationship between gel strength and the percentage of melamine spiking of the gelatin. This highly statistically significant negative relationship was also revealed between gel viscosity and percentage of melamine spiking. Testing methods were validated through the evaluation of the results for repeatability and reproducibility. These test results showed no statistically significant differences in testing within each of the three laboratories and across the three laboratories. As expected, there were significant differences in gel strength for the three gel types tested, with porcine skin having the greatest gel strength and bovine hide the lowest. was greatest for bovine bone and lowest for porcine skin. These rank orders for gel strength and viscosity according to type of gel were maintained as spiking levels were made and as these levels were increased. Tests evaluating whether or not there existed deleterious effects of melamine spiking beyond pure dilution proportionality revealed that gel strength was less than 90% for the 95% gel mixture and about 76% and 72% for the respective 90% and 84% mixtures. On the other hand, changes in viscosity with increasing percentage melamine were only slightly less than simple dilution. 11

12 This study has also clearly shown through photographs of laboratory test samples that the presence of melamine in gelatin can be seen by the naked eye in the dry form, the room temperature liquid suspension state, and the chilled solid gel. The presence of melamine in the gelatin mix becomes more and more evident with increased percentage spiking levels. It can be soundly concluded that the spiking of gelatin with melamine, even at very low levels, has significant deleterious effects on the valued properties of gel strength and gel viscosity. 12

13 Appendix Table 1. and of Bovine Bone atin With 0%, 5%, 10% and 16% Melamine Laboratory ita Nitta Rousselot Melamine (%)

14 Appendix Table 2. and of Porcine atin With 0%, 5%, 10% and 16% Melamine Laboratory ita Nitta Rousselot Melamine (%)

15 Appendix Table 3. and of Bovine Hide atin With 0%, 5%, 10% and 16% Melamine Laboratory ita Nitta Rousselot Melamine (%)

16 16

1.4 - Linear Regression and MS Excel

1.4 - Linear Regression and MS Excel 1.4 - Linear Regression and MS Excel Regression is an analytic technique for determining the relationship between a dependent variable and an independent variable. When the two variables have a linear

More information

Chapter 3 CORRELATION AND REGRESSION

Chapter 3 CORRELATION AND REGRESSION CORRELATION AND REGRESSION TOPIC SLIDE Linear Regression Defined 2 Regression Equation 3 The Slope or b 4 The Y-Intercept or a 5 What Value of the Y-Variable Should be Predicted When r = 0? 7 The Regression

More information

Simple Linear Regression the model, estimation and testing

Simple Linear Regression the model, estimation and testing Simple Linear Regression the model, estimation and testing Lecture No. 05 Example 1 A production manager has compared the dexterity test scores of five assembly-line employees with their hourly productivity.

More information

Pitfalls in Linear Regression Analysis

Pitfalls in Linear Regression Analysis Pitfalls in Linear Regression Analysis Due to the widespread availability of spreadsheet and statistical software for disposal, many of us do not really have a good understanding of how to use regression

More information

bivariate analysis: The statistical analysis of the relationship between two variables.

bivariate analysis: The statistical analysis of the relationship between two variables. bivariate analysis: The statistical analysis of the relationship between two variables. cell frequency: The number of cases in a cell of a cross-tabulation (contingency table). chi-square (χ 2 ) test for

More information

NORTH SOUTH UNIVERSITY TUTORIAL 2

NORTH SOUTH UNIVERSITY TUTORIAL 2 NORTH SOUTH UNIVERSITY TUTORIAL 2 AHMED HOSSAIN,PhD Data Management and Analysis AHMED HOSSAIN,PhD - Data Management and Analysis 1 Correlation Analysis INTRODUCTION In correlation analysis, we estimate

More information

Question 1(25= )

Question 1(25= ) MSG500 Final 20-0-2 Examiner: Rebecka Jörnsten, 060-49949 Remember: To pass this course you also have to hand in a final project to the examiner. Open book, open notes but no calculators or computers allowed.

More information

Behavioral generalization

Behavioral generalization Supplementary Figure 1 Behavioral generalization. a. Behavioral generalization curves in four Individual sessions. Shown is the conditioned response (CR, mean ± SEM), as a function of absolute (main) or

More information

11/18/2013. Correlational Research. Correlational Designs. Why Use a Correlational Design? CORRELATIONAL RESEARCH STUDIES

11/18/2013. Correlational Research. Correlational Designs. Why Use a Correlational Design? CORRELATIONAL RESEARCH STUDIES Correlational Research Correlational Designs Correlational research is used to describe the relationship between two or more naturally occurring variables. Is age related to political conservativism? Are

More information

EXPERIMENT 3 ENZYMATIC QUANTITATION OF GLUCOSE

EXPERIMENT 3 ENZYMATIC QUANTITATION OF GLUCOSE EXPERIMENT 3 ENZYMATIC QUANTITATION OF GLUCOSE This is a team experiment. Each team will prepare one set of reagents; each person will do an individual unknown and each team will submit a single report.

More information

MULTIPLE LINEAR REGRESSION 24.1 INTRODUCTION AND OBJECTIVES OBJECTIVES

MULTIPLE LINEAR REGRESSION 24.1 INTRODUCTION AND OBJECTIVES OBJECTIVES 24 MULTIPLE LINEAR REGRESSION 24.1 INTRODUCTION AND OBJECTIVES In the previous chapter, simple linear regression was used when you have one independent variable and one dependent variable. This chapter

More information

Rat C-peptide ELISA. For the quantitative determination of C-peptide in rat serum. For Research Use Only. Not For Use In Diagnostic Procedures.

Rat C-peptide ELISA. For the quantitative determination of C-peptide in rat serum. For Research Use Only. Not For Use In Diagnostic Procedures. Rat C-peptide ELISA For the quantitative determination of C-peptide in rat serum. For Research Use Only. Not For Use In Diagnostic Procedures. Catalog Number: Size: 80-CPTRT-E01 96 wells Version: May 26,

More information

Dr. Allen Back. Oct. 7, 2016

Dr. Allen Back. Oct. 7, 2016 Dr. Allen Back Oct. 7, 2016 al Was it Fair? The first draft lottery during the Vietnam War: 366 balls labeled by dates. Mixed up and pulled out in a random order. al Was it Fair? Scatterplot al Was it

More information

CoQ10(Coenzyme Q10) ELISA Kit

CoQ10(Coenzyme Q10) ELISA Kit CoQ10(Coenzyme Q10) ELISA Kit Catalogue No.: EU0196 Size: 48T/96T Reactivity: Universal Detection Range: 0.781-50ng/ml Sensitivity:

More information

Technical Report. Determination of Nitrate in Smokeless Tobacco Products by Continuous Flow Analysis

Technical Report. Determination of Nitrate in Smokeless Tobacco Products by Continuous Flow Analysis Smokeless Tobacco Sub-Group Technical Report Determination of Nitrate in Smokeless Tobacco Products by Continuous Flow Analysis 2010 Collaborative and Proficiency Studies January 2015 Author and Sub-Group

More information

11/24/2017. Do not imply a cause-and-effect relationship

11/24/2017. Do not imply a cause-and-effect relationship Correlational research is used to describe the relationship between two or more naturally occurring variables. Is age related to political conservativism? Are highly extraverted people less afraid of rejection

More information

Mark J. Anderson, Patrick J. Whitcomb Stat-Ease, Inc., Minneapolis, MN USA

Mark J. Anderson, Patrick J. Whitcomb Stat-Ease, Inc., Minneapolis, MN USA Journal of Statistical Science and Application (014) 85-9 D DAV I D PUBLISHING Practical Aspects for Designing Statistically Optimal Experiments Mark J. Anderson, Patrick J. Whitcomb Stat-Ease, Inc., Minneapolis,

More information

HPTLC Determination of Atomoxetine Hydrochloride from its Bulk Drug and Pharmaceutical Preparations

HPTLC Determination of Atomoxetine Hydrochloride from its Bulk Drug and Pharmaceutical Preparations Asian Journal of Chemistry Vol. 20, No. 7 (2008), 5409-5413 HPTLC Determination of Atomoxetine Hydrochloride from its Bulk Drug and Pharmaceutical Preparations S.S. KAMAT, VINAYAK T. VELE, VISHAL C. CHOUDHARI

More information

Regression Including the Interaction Between Quantitative Variables

Regression Including the Interaction Between Quantitative Variables Regression Including the Interaction Between Quantitative Variables The purpose of the study was to examine the inter-relationships among social skills, the complexity of the social situation, and performance

More information

CRITERIA FOR USE. A GRAPHICAL EXPLANATION OF BI-VARIATE (2 VARIABLE) REGRESSION ANALYSISSys

CRITERIA FOR USE. A GRAPHICAL EXPLANATION OF BI-VARIATE (2 VARIABLE) REGRESSION ANALYSISSys Multiple Regression Analysis 1 CRITERIA FOR USE Multiple regression analysis is used to test the effects of n independent (predictor) variables on a single dependent (criterion) variable. Regression tests

More information

10. LINEAR REGRESSION AND CORRELATION

10. LINEAR REGRESSION AND CORRELATION 1 10. LINEAR REGRESSION AND CORRELATION The contingency table describes an association between two nominal (categorical) variables (e.g., use of supplemental oxygen and mountaineer survival ). We have

More information

MiSP Solubility Lab L3

MiSP Solubility Lab L3 MiSP Solubility Lab L3 Name Date In today s lab you will be working in groups to determine whether sugar or salt dissolves more quickly in water. The rate at which different substances dissolve depends

More information

Multiple Regression. James H. Steiger. Department of Psychology and Human Development Vanderbilt University

Multiple Regression. James H. Steiger. Department of Psychology and Human Development Vanderbilt University Multiple Regression James H. Steiger Department of Psychology and Human Development Vanderbilt University James H. Steiger (Vanderbilt University) Multiple Regression 1 / 19 Multiple Regression 1 The Multiple

More information

Business Statistics Probability

Business Statistics Probability Business Statistics The following was provided by Dr. Suzanne Delaney, and is a comprehensive review of Business Statistics. The workshop instructor will provide relevant examples during the Skills Assessment

More information

Correlation and regression

Correlation and regression PG Dip in High Intensity Psychological Interventions Correlation and regression Martin Bland Professor of Health Statistics University of York http://martinbland.co.uk/ Correlation Example: Muscle strength

More information

Rat Insulin ELISA. For the quantitative determination of insulin in rat serum and plasma. For Research Use Only. Not For Use In Diagnostic Procedures.

Rat Insulin ELISA. For the quantitative determination of insulin in rat serum and plasma. For Research Use Only. Not For Use In Diagnostic Procedures. Rat Insulin ELISA For the quantitative determination of insulin in rat serum and plasma For Research Use Only. Not For Use In Diagnostic Procedures. Catalog Number: Size: 80-INSRT-E01, E10 96 wells, 10

More information

THE ESTIMATION OF TRYPSIN WITH HEMOGLOBIN

THE ESTIMATION OF TRYPSIN WITH HEMOGLOBIN THE ESTIMATION OF TRYPSIN WITH HEMOGLOBIN BY M. L. ANSON Am) A. E. MIRSKY (From the Laboratories of The Rockefeller Institute for Medical Research, Princeton, N. J., and the Hospital of The Rockefeller

More information

Daniel Boduszek University of Huddersfield

Daniel Boduszek University of Huddersfield Daniel Boduszek University of Huddersfield d.boduszek@hud.ac.uk Introduction to Multiple Regression (MR) Types of MR Assumptions of MR SPSS procedure of MR Example based on prison data Interpretation of

More information

Doctors Fees in Ireland Following the Change in Reimbursement: Did They Jump?

Doctors Fees in Ireland Following the Change in Reimbursement: Did They Jump? The Economic and Social Review, Vol. 38, No. 2, Summer/Autumn, 2007, pp. 259 274 Doctors Fees in Ireland Following the Change in Reimbursement: Did They Jump? DAVID MADDEN University College Dublin Abstract:

More information

Porcine/Canine Insulin ELISA

Porcine/Canine Insulin ELISA Porcine/Canine Insulin ELISA For the quantitative determination of insulin in porcine or canine serum and plasma. Please read carefully due to Critical Changes, e.g., Calculation of Results. For Research

More information

Mouse C-peptide ELISA

Mouse C-peptide ELISA Mouse C-peptide ELISA For the quantitative determination of C-peptide in mouse serum. For Research Use Only. Not for use in Diagnostic Procedures. Please read carefully due to Critical Changes, e.g., Preparation

More information

Content. Basic Statistics and Data Analysis for Health Researchers from Foreign Countries. Research question. Example Newly diagnosed Type 2 Diabetes

Content. Basic Statistics and Data Analysis for Health Researchers from Foreign Countries. Research question. Example Newly diagnosed Type 2 Diabetes Content Quantifying association between continuous variables. Basic Statistics and Data Analysis for Health Researchers from Foreign Countries Volkert Siersma siersma@sund.ku.dk The Research Unit for General

More information

WDHS Curriculum Map Probability and Statistics. What is Statistics and how does it relate to you?

WDHS Curriculum Map Probability and Statistics. What is Statistics and how does it relate to you? WDHS Curriculum Map Probability and Statistics Time Interval/ Unit 1: Introduction to Statistics 1.1-1.3 2 weeks S-IC-1: Understand statistics as a process for making inferences about population parameters

More information

Mouse C-peptide ELISA

Mouse C-peptide ELISA Mouse C-peptide ELISA For the quantitative determination of C-peptide in mouse serum. For Research Use Only. Not for use in Diagnostic Procedures. Please read carefully due to Critical Changes, e.g., Calculation

More information

Unit 1 Exploring and Understanding Data

Unit 1 Exploring and Understanding Data Unit 1 Exploring and Understanding Data Area Principle Bar Chart Boxplot Conditional Distribution Dotplot Empirical Rule Five Number Summary Frequency Distribution Frequency Polygon Histogram Interquartile

More information

Dr. Kelly Bradley Final Exam Summer {2 points} Name

Dr. Kelly Bradley Final Exam Summer {2 points} Name {2 points} Name You MUST work alone no tutors; no help from classmates. Email me or see me with questions. You will receive a score of 0 if this rule is violated. This exam is being scored out of 00 points.

More information

Simple Linear Regression

Simple Linear Regression Simple Linear Regression Assoc. Prof Dr Sarimah Abdullah Unit of Biostatistics & Research Methodology School of Medical Sciences, Health Campus Universiti Sains Malaysia Regression Regression analysis

More information

Ecological Statistics

Ecological Statistics A Primer of Ecological Statistics Second Edition Nicholas J. Gotelli University of Vermont Aaron M. Ellison Harvard Forest Sinauer Associates, Inc. Publishers Sunderland, Massachusetts U.S.A. Brief Contents

More information

Biology 2180 Laboratory #3. Enzyme Kinetics and Quantitative Analysis

Biology 2180 Laboratory #3. Enzyme Kinetics and Quantitative Analysis Biology 2180 Laboratory #3 Name Introduction Enzyme Kinetics and Quantitative Analysis Catalysts are agents that speed up chemical processes and the catalysts produced by living cells are called enzymes.

More information

Bovine Insulin ELISA

Bovine Insulin ELISA Bovine Insulin ELISA For quantitative determination of insulin in bovine serum and plasma. For Research Use Only. Not For Use In Diagnostic Procedures. Catalog Number: 80-INSBO-E01 Size: 96 wells Version:

More information

Multiple Regression Analysis

Multiple Regression Analysis Multiple Regression Analysis Basic Concept: Extend the simple regression model to include additional explanatory variables: Y = β 0 + β1x1 + β2x2 +... + βp-1xp + ε p = (number of independent variables

More information

Rat C-peptide ELISA. For the quantitative determination of C-peptide in rat serum

Rat C-peptide ELISA. For the quantitative determination of C-peptide in rat serum Rat C-peptide ELISA For the quantitative determination of C-peptide in rat serum Please read carefully due to Critical Changes, e.g., see Calculation of Results. For Research Use Only. Not For Use In Diagnostic

More information

Bangor University Laboratory Exercise 1, June 2008

Bangor University Laboratory Exercise 1, June 2008 Laboratory Exercise, June 2008 Classroom Exercise A forest land owner measures the outside bark diameters at.30 m above ground (called diameter at breast height or dbh) and total tree height from ground

More information

Problem #1 Neurological signs and symptoms of ciguatera poisoning as the start of treatment and 2.5 hours after treatment with mannitol.

Problem #1 Neurological signs and symptoms of ciguatera poisoning as the start of treatment and 2.5 hours after treatment with mannitol. Ho (null hypothesis) Ha (alternative hypothesis) Problem #1 Neurological signs and symptoms of ciguatera poisoning as the start of treatment and 2.5 hours after treatment with mannitol. Hypothesis: Ho:

More information

Mouse Ultrasensitive Insulin ELISA

Mouse Ultrasensitive Insulin ELISA Mouse Ultrasensitive Insulin ELISA For the quantitative determination of insulin in mouse serum and plasma. Please read carefully due to Critical Changes, e.g., Calculation of Results. For Research Use

More information

Introduction: Table/Figure Descriptions:

Introduction: Table/Figure Descriptions: Introduction: We have completed the analysis of your HIV RNA Validation Study. The validation plan was designed to verify the installation of an unmodified FDA-approved HIV RNA assay into your laboratory.

More information

Still important ideas

Still important ideas Readings: OpenStax - Chapters 1 13 & Appendix D & E (online) Plous Chapters 17 & 18 - Chapter 17: Social Influences - Chapter 18: Group Judgments and Decisions Still important ideas Contrast the measurement

More information

MEA DISCUSSION PAPERS

MEA DISCUSSION PAPERS Inference Problems under a Special Form of Heteroskedasticity Helmut Farbmacher, Heinrich Kögel 03-2015 MEA DISCUSSION PAPERS mea Amalienstr. 33_D-80799 Munich_Phone+49 89 38602-355_Fax +49 89 38602-390_www.mea.mpisoc.mpg.de

More information

V. LAB REPORT. PART I. ICP-AES (section IVA)

V. LAB REPORT. PART I. ICP-AES (section IVA) CH 461 & CH 461H 20 V. LAB REPORT The lab report should include an abstract and responses to the following items. All materials should be submitted by each individual, not one copy for the group. The goal

More information

UPPER MIDWEST MARKETING AREA ANALYSIS OF COMPONENT LEVELS AND SOMATIC CELL COUNT IN INDIVIDUAL HERD MILK AT THE FARM LEVEL 2007

UPPER MIDWEST MARKETING AREA ANALYSIS OF COMPONENT LEVELS AND SOMATIC CELL COUNT IN INDIVIDUAL HERD MILK AT THE FARM LEVEL 2007 UPPER MIDWEST MARKETING AREA ANALYSIS OF COMPONENT LEVELS AND SOMATIC CELL COUNT IN INDIVIDUAL HERD MILK AT THE FARM LEVEL 2007 Staff Paper 08-01 Prepared by: Corey Freije 2008 Federal Milk Market Administrator

More information

Insulin (Porcine/Canine) ELISA

Insulin (Porcine/Canine) ELISA Insulin (Porcine/Canine) ELISA For the quantitative measurement of insulin in Porcine/Canine serum and plasma (EDTA) For Research Use Only. Not For Use In Diagnostic Procedures. Catalog Number: 80-INSPO-E01

More information

Understandable Statistics

Understandable Statistics Understandable Statistics correlated to the Advanced Placement Program Course Description for Statistics Prepared for Alabama CC2 6/2003 2003 Understandable Statistics 2003 correlated to the Advanced Placement

More information

Week 17 and 21 Comparing two assays and Measurement of Uncertainty Explain tools used to compare the performance of two assays, including

Week 17 and 21 Comparing two assays and Measurement of Uncertainty Explain tools used to compare the performance of two assays, including Week 17 and 21 Comparing two assays and Measurement of Uncertainty 2.4.1.4. Explain tools used to compare the performance of two assays, including 2.4.1.4.1. Linear regression 2.4.1.4.2. Bland-Altman plots

More information

Analytical method validation. Presented by Debbie Parker 4 July, 2016

Analytical method validation. Presented by Debbie Parker 4 July, 2016 Analytical method validation Presented by Debbie Parker 4 July, 2016 Introduction This session will cover: Guidance and references The types of test methods Validation requirements Summary Slide 2 PharmOut

More information

Examining Relationships Least-squares regression. Sections 2.3

Examining Relationships Least-squares regression. Sections 2.3 Examining Relationships Least-squares regression Sections 2.3 The regression line A regression line describes a one-way linear relationship between variables. An explanatory variable, x, explains variability

More information

Fixed Effect Combining

Fixed Effect Combining Meta-Analysis Workshop (part 2) Michael LaValley December 12 th 2014 Villanova University Fixed Effect Combining Each study i provides an effect size estimate d i of the population value For the inverse

More information

First of two parts Joseph Hogan Brown University and AMPATH

First of two parts Joseph Hogan Brown University and AMPATH First of two parts Joseph Hogan Brown University and AMPATH Overview What is regression? Does regression have to be linear? Case study: Modeling the relationship between weight and CD4 count Exploratory

More information

Human Alpha 1 microglobulin ELISA Kit

Human Alpha 1 microglobulin ELISA Kit Human Alpha 1 microglobulin ELISA Kit Catalogue No.: EH4144 Size: 48T/96T Reactivity: Human Range:0.625-40ng/ml Sensitivity:

More information

Chapter 3: Describing Relationships

Chapter 3: Describing Relationships Chapter 3: Describing Relationships Objectives: Students will: Construct and interpret a scatterplot for a set of bivariate data. Compute and interpret the correlation, r, between two variables. Demonstrate

More information

2.75: 84% 2.5: 80% 2.25: 78% 2: 74% 1.75: 70% 1.5: 66% 1.25: 64% 1.0: 60% 0.5: 50% 0.25: 25% 0: 0%

2.75: 84% 2.5: 80% 2.25: 78% 2: 74% 1.75: 70% 1.5: 66% 1.25: 64% 1.0: 60% 0.5: 50% 0.25: 25% 0: 0% Capstone Test (will consist of FOUR quizzes and the FINAL test grade will be an average of the four quizzes). Capstone #1: Review of Chapters 1-3 Capstone #2: Review of Chapter 4 Capstone #3: Review of

More information

Performance of Median and Least Squares Regression for Slightly Skewed Data

Performance of Median and Least Squares Regression for Slightly Skewed Data World Academy of Science, Engineering and Technology 9 Performance of Median and Least Squares Regression for Slightly Skewed Data Carolina Bancayrin - Baguio Abstract This paper presents the concept of

More information

Thyroid Stimulating Hormone (TSH) ELISA Catalog No. GWB , legacy id (96 Tests)

Thyroid Stimulating Hormone (TSH) ELISA Catalog No. GWB , legacy id (96 Tests) For Research Use Only. Not for use in Diagnostic Procedures. INTENDED USE The GenWay, Inc. TSH ELISA Kit is intended for the quantitative measurement of TSH in human serum or plasma. For research use only.

More information

Diurnal Pattern of Reaction Time: Statistical analysis

Diurnal Pattern of Reaction Time: Statistical analysis Diurnal Pattern of Reaction Time: Statistical analysis Prepared by: Alison L. Gibbs, PhD, PStat Prepared for: Dr. Principal Investigator of Reaction Time Project January 11, 2015 Summary: This report gives

More information

Chemistry 212. Experiment 3 ANALYSIS OF A SOLID MIXTURE LEARNING OBJECTIVES. - learn to analyze a solid unknown with volumetric techniques.

Chemistry 212. Experiment 3 ANALYSIS OF A SOLID MIXTURE LEARNING OBJECTIVES. - learn to analyze a solid unknown with volumetric techniques. Experiment 3 The objectives of this experiment are to LEARNING OBJECTIVES - learn to analyze a solid unknown with volumetric techniques. - use stoichiometry to determine the percentage of KHP in a solid

More information

Spectrophotometric Method for Estimation of Sitagliptin Phosphate in Bulk...

Spectrophotometric Method for Estimation of Sitagliptin Phosphate in Bulk... Spectrophotometric Method for Estimation of Sitagliptin Phosphate in Bulk... I J P F A International Science Press Spectrophotometric Method for Estimation of Sitagliptin Phosphate in Bulk and Tablet Dosage

More information

Available online Research Article

Available online   Research Article Available online www.jocpr.com Journal of Chemical and Pharmaceutical Research, 2016, 8(3):289-294 Research Article ISSN : 0975-7384 CODEN(USA) : JCPRC5 Simultaneous UV-spectrophotometric estimation of

More information

METHOD VALIDATION: WHY, HOW AND WHEN?

METHOD VALIDATION: WHY, HOW AND WHEN? METHOD VALIDATION: WHY, HOW AND WHEN? Linear-Data Plotter a,b s y/x,r Regression Statistics mean SD,CV Distribution Statistics Comparison Plot Histogram Plot SD Calculator Bias SD Diff t Paired t-test

More information

Validated UV Spectrophotometric Method Development And Stability Studies Of Acamprosate Calcium In Bulk And Tablet Dosage Form

Validated UV Spectrophotometric Method Development And Stability Studies Of Acamprosate Calcium In Bulk And Tablet Dosage Form International Journal of PharmTech Research CODEN (USA): IJPRIF ISSN : 0974-4304 Vol.5, No.3, pp 1241-1246, July-Sept 2013 Validated UV Spectrophotometric Method Development And Stability Studies Of Acamprosate

More information

Early Learning vs Early Variability 1.5 r = p = Early Learning r = p = e 005. Early Learning 0.

Early Learning vs Early Variability 1.5 r = p = Early Learning r = p = e 005. Early Learning 0. The temporal structure of motor variability is dynamically regulated and predicts individual differences in motor learning ability Howard Wu *, Yohsuke Miyamoto *, Luis Nicolas Gonzales-Castro, Bence P.

More information

Method Comparison Report Semi-Annual 1/5/2018

Method Comparison Report Semi-Annual 1/5/2018 Method Comparison Report Semi-Annual 1/5/2018 Prepared for Carl Commissioner Regularatory Commission 123 Commission Drive Anytown, XX, 12345 Prepared by Dr. Mark Mainstay Clinical Laboratory Kennett Community

More information

Drug Delivery via GLIADEL Wafer for Treatment of Glioblastoma Multiforme (GBM)

Drug Delivery via GLIADEL Wafer for Treatment of Glioblastoma Multiforme (GBM) Drug Delivery via GLIADEL Wafer for Treatment of Glioblastoma Multiforme (GBM) William Leif Ericksen, Lyndsey Fortin, Cheryl Hou, Katrina Shum BEE 453 May 1, 2008 Table of Contents I. Executive Summary.

More information

Insulin ELISA. For the quantitative determination of insulin in serum and plasma

Insulin ELISA. For the quantitative determination of insulin in serum and plasma Insulin ELISA For the quantitative determination of insulin in serum and plasma For In Vitro Diagnostic use within the United States of America. This product is for Research Use Only outside of the United

More information

Regression CHAPTER SIXTEEN NOTE TO INSTRUCTORS OUTLINE OF RESOURCES

Regression CHAPTER SIXTEEN NOTE TO INSTRUCTORS OUTLINE OF RESOURCES CHAPTER SIXTEEN Regression NOTE TO INSTRUCTORS This chapter includes a number of complex concepts that may seem intimidating to students. Encourage students to focus on the big picture through some of

More information

Midterm STAT-UB.0003 Regression and Forecasting Models. I will not lie, cheat or steal to gain an academic advantage, or tolerate those who do.

Midterm STAT-UB.0003 Regression and Forecasting Models. I will not lie, cheat or steal to gain an academic advantage, or tolerate those who do. Midterm STAT-UB.0003 Regression and Forecasting Models The exam is closed book and notes, with the following exception: you are allowed to bring one letter-sized page of notes into the exam (front and

More information

Available Online through Research Article

Available Online through Research Article ISSN: 0975-766X Available Online through Research Article www.ijptonline.com SPECTROPHOTOMETRIC METHODS FOR THE DETERMINATION OF FROVATRIPTAN SUCCINATE MONOHYDRATE IN BULK AND PHARMACEUTICAL DOSAGE FORMS

More information

STATISTICS AND RESEARCH DESIGN

STATISTICS AND RESEARCH DESIGN Statistics 1 STATISTICS AND RESEARCH DESIGN These are subjects that are frequently confused. Both subjects often evoke student anxiety and avoidance. To further complicate matters, both areas appear have

More information

MEDAK DIST. ANDHRA PRADESH STATE, INDIA. Research Article RECEIVED ON ACCEPTED ON

MEDAK DIST. ANDHRA PRADESH STATE, INDIA. Research Article RECEIVED ON ACCEPTED ON Page67 Available Online through IJPBS Volume 1 Issue 2 APRIL- JUNE 2011 SIMPLE QUANTITATIVE METHOD DEVELOPMENT AND VALIDATION OF VALSARTAN IN PUREFORM AND PHARMACEUTICAL DOSAGE FORMS BYUV SPECTROSCOPY

More information

Triiodothyronine (T3) ELISA

Triiodothyronine (T3) ELISA For Research Use Only. Not for use in Diagnostic Procedures. INTENDED USE The GenWay, Inc. Triiodothyronine (T3) ELISA Kit is intended for the detection of total T3 in human serum or plasma. For research

More information

Overview of Lecture. Survey Methods & Design in Psychology. Correlational statistics vs tests of differences between groups

Overview of Lecture. Survey Methods & Design in Psychology. Correlational statistics vs tests of differences between groups Survey Methods & Design in Psychology Lecture 10 ANOVA (2007) Lecturer: James Neill Overview of Lecture Testing mean differences ANOVA models Interactions Follow-up tests Effect sizes Parametric Tests

More information

Lesson 1: Distributions and Their Shapes

Lesson 1: Distributions and Their Shapes Lesson 1 Name Date Lesson 1: Distributions and Their Shapes 1. Sam said that a typical flight delay for the sixty BigAir flights was approximately one hour. Do you agree? Why or why not? 2. Sam said that

More information

Biology 345: Biometry Fall 2005 SONOMA STATE UNIVERSITY Lab Exercise 5 Residuals and multiple regression Introduction

Biology 345: Biometry Fall 2005 SONOMA STATE UNIVERSITY Lab Exercise 5 Residuals and multiple regression Introduction Biology 345: Biometry Fall 2005 SONOMA STATE UNIVERSITY Lab Exercise 5 Residuals and multiple regression Introduction In this exercise, we will gain experience assessing scatterplots in regression and

More information

6. Unusual and Influential Data

6. Unusual and Influential Data Sociology 740 John ox Lecture Notes 6. Unusual and Influential Data Copyright 2014 by John ox Unusual and Influential Data 1 1. Introduction I Linear statistical models make strong assumptions about the

More information

Readings: Textbook readings: OpenStax - Chapters 1 13 (emphasis on Chapter 12) Online readings: Appendix D, E & F

Readings: Textbook readings: OpenStax - Chapters 1 13 (emphasis on Chapter 12) Online readings: Appendix D, E & F Readings: Textbook readings: OpenStax - Chapters 1 13 (emphasis on Chapter 12) Online readings: Appendix D, E & F Plous Chapters 17 & 18 Chapter 17: Social Influences Chapter 18: Group Judgments and Decisions

More information

Poisson regression. Dae-Jin Lee Basque Center for Applied Mathematics.

Poisson regression. Dae-Jin Lee Basque Center for Applied Mathematics. Dae-Jin Lee dlee@bcamath.org Basque Center for Applied Mathematics http://idaejin.github.io/bcam-courses/ D.-J. Lee (BCAM) Intro to GLM s with R GitHub: idaejin 1/40 Modeling count data Introduction Response

More information

Analysis and Interpretation of Data Part 1

Analysis and Interpretation of Data Part 1 Analysis and Interpretation of Data Part 1 DATA ANALYSIS: PRELIMINARY STEPS 1. Editing Field Edit Completeness Legibility Comprehensibility Consistency Uniformity Central Office Edit 2. Coding Specifying

More information

CHILD HEALTH AND DEVELOPMENT STUDY

CHILD HEALTH AND DEVELOPMENT STUDY CHILD HEALTH AND DEVELOPMENT STUDY 9. Diagnostics In this section various diagnostic tools will be used to evaluate the adequacy of the regression model with the five independent variables developed in

More information

Results & Statistics: Description and Correlation. I. Scales of Measurement A Review

Results & Statistics: Description and Correlation. I. Scales of Measurement A Review Results & Statistics: Description and Correlation The description and presentation of results involves a number of topics. These include scales of measurement, descriptive statistics used to summarize

More information

Scholars Research Library. Der Pharmacia Lettre, 2016, 8 (3): (

Scholars Research Library. Der Pharmacia Lettre, 2016, 8 (3): ( Available online at www.scholarsresearchlibrary.com Scholars Research Library Der Pharmacia Lettre, 2016, 8 (3):261-266 (http://scholarsresearchlibrary.com/archive.html) ISSN 0975-5071 USA CODEN: DPLEB4

More information

Cortisol (Sheep) ELISA Kit

Cortisol (Sheep) ELISA Kit Cortisol (Sheep) ELISA Kit Catalog Number KA0919 96 assays Version: 03 Intended for research use only www.abnova.com Table of Contents Introduction... 3 Intended Use... 3 Background... 3 Principle of the

More information

SUPPLEMENTAL MATERIAL

SUPPLEMENTAL MATERIAL 1 SUPPLEMENTAL MATERIAL Response time and signal detection time distributions SM Fig. 1. Correct response time (thick solid green curve) and error response time densities (dashed red curve), averaged across

More information

AP Statistics. Semester One Review Part 1 Chapters 1-5

AP Statistics. Semester One Review Part 1 Chapters 1-5 AP Statistics Semester One Review Part 1 Chapters 1-5 AP Statistics Topics Describing Data Producing Data Probability Statistical Inference Describing Data Ch 1: Describing Data: Graphically and Numerically

More information

Application of Local Control Strategy in analyses of the effects of Radon on Lung Cancer Mortality for 2,881 US Counties

Application of Local Control Strategy in analyses of the effects of Radon on Lung Cancer Mortality for 2,881 US Counties Application of Local Control Strategy in analyses of the effects of Radon on Lung Cancer Mortality for 2,881 US Counties Bob Obenchain, Risk Benefit Statistics, August 2015 Our motivation for using a Cut-Point

More information

Research Article Derivative Spectrophotometric Method for Estimation of Metformin Hydrochloride in Bulk Drug and Dosage Form

Research Article Derivative Spectrophotometric Method for Estimation of Metformin Hydrochloride in Bulk Drug and Dosage Form Research Article Derivative Spectrophotometric Method for Estimation of Metformin Hydrochloride in Bulk Drug and Dosage Form Gowekar NM, Lawande YS*, Jadhav DP, Hase RS and Savita N. Gowekar Department

More information

FAO SPECIFICATIONS FAO PLANT PROTECTION PRODUCTS SULPHUR. FOOD AND AGRICULTURE ORGANIZATION OF THE UNITED NATIONS Rome, 1973

FAO SPECIFICATIONS FAO PLANT PROTECTION PRODUCTS SULPHUR. FOOD AND AGRICULTURE ORGANIZATION OF THE UNITED NATIONS Rome, 1973 AGP: CP/58 FAO SPECIFICATIONS FAO PLANT PROTECTION PRODUCTS SULPHUR FOOD AND AGRICULTURE ORGANIZATION OF THE UNITED NATIONS Rome, 1973 DISCLAIMER 1 FAO specifications are developed with the basic objective

More information

Method Comparison for Interrater Reliability of an Image Processing Technique in Epilepsy Subjects

Method Comparison for Interrater Reliability of an Image Processing Technique in Epilepsy Subjects 22nd International Congress on Modelling and Simulation, Hobart, Tasmania, Australia, 3 to 8 December 2017 mssanz.org.au/modsim2017 Method Comparison for Interrater Reliability of an Image Processing Technique

More information

Final Exam Version A

Final Exam Version A Final Exam Version A Open Book and Notes your 4-digit code: Staple the question sheets to your answers Write your name only once on the back of this sheet. Problem 1: (10 points) A popular method to isolate

More information

UPPER MIDWEST MARKETING AREA ANALYSIS OF COMPONENT LEVELS AND SOMATIC CELL COUNT IN INDIVIDUAL HERD MILK AT THE FARM LEVEL 2002

UPPER MIDWEST MARKETING AREA ANALYSIS OF COMPONENT LEVELS AND SOMATIC CELL COUNT IN INDIVIDUAL HERD MILK AT THE FARM LEVEL 2002 UPPER MIDWEST MARKETING AREA ANALYSIS OF COMPONENT LEVELS AND SOMATIC CELL COUNT IN INDIVIDUAL HERD MILK AT THE FARM LEVEL 2002 Staff Paper 03-01 Prepared by: Henry H. Schaefer December 2003 Federal Milk

More information

Addendum: Multiple Regression Analysis (DRAFT 8/2/07)

Addendum: Multiple Regression Analysis (DRAFT 8/2/07) Addendum: Multiple Regression Analysis (DRAFT 8/2/07) When conducting a rapid ethnographic assessment, program staff may: Want to assess the relative degree to which a number of possible predictive variables

More information

Tutorial #7A: Latent Class Growth Model (# seizures)

Tutorial #7A: Latent Class Growth Model (# seizures) Tutorial #7A: Latent Class Growth Model (# seizures) 2.50 Class 3: Unstable (N = 6) Cluster modal 1 2 3 Mean proportional change from baseline 2.00 1.50 1.00 Class 1: No change (N = 36) 0.50 Class 2: Improved

More information

RayBio Human Granzyme B ELISA Kit

RayBio Human Granzyme B ELISA Kit RayBio Human Granzyme B ELISA Kit Catalog #: ELH-GZMB User Manual Last revised April 15, 2016 Caution: Extraordinarily useful information enclosed ISO 13485 Certified 3607 Parkway Lane, Suite 100 Norcross,

More information