Statistical Tests Selection: Choosing the Appropriate One for Hypothesis Testing, Study notes of Statistics

Download Statistical Tests Selection: Choosing the Appropriate One for Hypothesis Testing and more Study notes Statistics in PDF only on Docsity! Selecting the Appropriate Statistic (Part 1) Used to test hypothesis about: Number of Groups Question to be Answered (Verbal statement of the hypothesis) Statistic to Choose Null and Alternative Hypothesis Means One Is the mean of the group significantly different from some number? Single Sample t-test H0: µ = number H1: µ … number or H1: µ — number or H1: µ ™ number example H0: µ = 30 Two independent (separate) groups Is the mean of one group significantly different from the mean of the other? Between Subjects (Independent Samples) t-test H0: µ1 = µ2 H1: µ …µ or H1: µ—µ or H1: µ™µ Two groups of matched subjects or two measures on the same subjects (repeated measures) Is the mean of one set of scores significantly different from the mean of the other set of scores? Within Subjects (repeated measures or dependent groups) t-test H0: µ1 - µ2 = 0 H1:µ1 - µ2 … 0 Ranks Two independent (separate) groups Are the ranks assigned by one group higher or lower than the ranks assigned by the other group? Mann-Whitney U Test HO: The ranks are no different H1: The ranks are higher or lower. Two groups of matched subjects or two measures on the same subjects (repeated measures) Are the ranks assigned in one situation higher or lower than the ranks assigned in another situation? Wilcoxon Matched Pairs Signed Ranks Test HO: The ranks are no different H1: The ranks are higher or lower. Shape of the Distribution Frequency Distribution One group/set of scores Are the scores normally distributed? Or Are the scores distributed in some specified way? Chi Square goodness of fit H0: The distribution is normal H1: The distribution differs from normal Frequency Distribution/ Counts Count the number in each of several categories on two dimensions. Is there a relationship between the dimensions (variables)? Chi Square for Contingency Tables H0: There is no relationship (the dimensions/ variables are independent) H1: There is a relationship.