View source for WBR0365

 {{WBRQuestion
|QuestionAuthor=[[User:Serge korjian|Serge Korjian, M.D.]], [[User:Gonzalo Romero|Gonzalo A. Romero, M.D.]] [mailto:gromero@wikidoc.org] (Reviewed by Serge Korjian and  {{YD}})
|ExamType=USMLE Step 1
|MainCategory=Biostatistics/Epidemiology
|SubCategory=General Principles
|MainCategory=Biostatistics/Epidemiology
|SubCategory=General Principles
|MainCategory=Biostatistics/Epidemiology
|SubCategory=General Principles
|MainCategory=Biostatistics/Epidemiology
|MainCategory=Biostatistics/Epidemiology
|MainCategory=Biostatistics/Epidemiology
|SubCategory=General Principles
|MainCategory=Biostatistics/Epidemiology
|SubCategory=General Principles
|MainCategory=Biostatistics/Epidemiology
|SubCategory=General Principles
|MainCategory=Biostatistics/Epidemiology
|SubCategory=General Principles
|MainCategory=Biostatistics/Epidemiology
|MainCategory=Biostatistics/Epidemiology
|SubCategory=General Principles
|Prompt=A research group is studying the effects of a short course of concentrated coffee bean extract on weight loss among healthy volunteers. The group designs a randomized double-blinded controlled trial and recruits 154 subjects. Subjects are then randomized into 2 groups, one receiving 3 daily doses of coffee bean extract and the other receiving 3 daily doses of placebo. At the end of the two-month period, the biostatistician wants to compare the mean change in body weight from baseline among the 2 groups. Which of the following tests should the biostatistician use in order to obtain a valid comparison?
|Explanation=The student's t-test is used to evaluate a significant difference between 2 means of continuous variables. In this study, the researchers are looking to compare the mean Δbody-weight between the 2 groups making the t-test the most appropriate choice. The t-test operates under the assumption that the population has a normal distribution. The t-test can be either independent (unpaired), used when two independent sets of similarly distributed samples one from each of the two groups being compared, or paired used in cases where the study population consists of matched pairs.
|AnswerA=χ<sup>2</sup> (Chi-square) test
|AnswerAExp=[[Chi-square test|Chi-square]] is a test which allows to determine a difference between 2 or more proportions or percentages of categorical outcomes.
|AnswerB=ANOVA
|AnswerBExp=[[ANOVA]] or analysis of variance allows to determine if a significant difference exists between the means of 3 or more groups. It is used in the same context as the t-test but when comparing more than 2 groups.
|AnswerC=t-test
|AnswerCExp=The [[t-test]] allows the comparison of 2 means for statistical significance. It can only be used with 2 means, whereas ANOVA evaluates 3 or more mean values.
|AnswerD=Pearson's correlation coefficient
|AnswerDExp=The [[Pearson product-moment correlation coefficient|Pearson correlation coefficient]] is a measure that demonstrates the correlation between 2 variables. It is not used to determine if statistical significance is achieved and cannot be used to compare means. This correlation varies from +1 to -1, with negative values demonstrating an inverse relationship. The closer the absolute value is to 1, the stronger the correlation, whether positive or negative.
|AnswerE=Median
|AnswerEExp=The median is the numerical value separating the higher half of a data sample from the lower half. It may be used to determine a skew in the distribution of the study population when compared to the population mean.
|EducationalObjectives=The t-test is used to detect a statistically significant difference between the means of 2 groups.
|References=Gerstman BB. Basic Biostatistics, Statistics for Public Health Practice/ Formula and Tables. Jones & Bartlett Learning; 2007.
|RightAnswer=C
|WBRKeyword=t-test, T-test, Mean, Categorical, Continuous, ANOVA, Chi-square, Median, Pearson's correlation coefficient, Correlation coefficient, Clinical trial
|Approved=Yes
}}