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A comprehensive overview of various statistical tests, including chi-square, t-tests (paired and independent), correlation analysis, and regression analysis. it details the assumptions, calculations, interpretations, and reporting of results for each test, making it an excellent resource for students learning statistical methods. the inclusion of numerous questions and answers further enhances its educational value, solidifying understanding through practical application.
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What does a chi-square test? - ANSWER Relationship between two categorical variables When do you accept the null hypothesis for a chi square? - ANSWER If observed matches expected, accept null hypothesis If observed does not match expected, reject null hypothesis
Assumptions for a chi square (4) - ANSWER - 2 categorical variables
How to measure effect size for chi square + levels - ANSWER Cramer's V Falls between 0 and 1
.5 = large association .3 to .5 = moderate association .1 to .3 = small association
0 to .1 = no association
What statistics do you report for a chi square? - ANSWER X2 (df, N = XX) = XX.XX, p = .XXX Cramer's V: .XXX
What does a t-test measure? - ANSWER Test if a categorical variable predicts a continuous outcome
How many categories can the categorical variable have in a t-test? - ANSWER Must be dichotomous - 2 categories
What is a paired samples t-test? - ANSWER Comparing the same group of people at two points in time
What is an independent t-test? - ANSWER Comparing two different groups of people on the same outcome
Assumptions for paired samples t-tests - ANSWER - Outcome is measured at the continuous level
How do you report statistics for the Mann Whitney U test - ANSWER Statistic: U = X.XX, p = .XXX Group information: median value for each group (Mdn = XX.XX) Effect size: r (instead of Cohen's d), interpreted same way as Cramer's V
What test do you run if you violate the assumption of homogeneity of variances for an independent t-test? - ANSWER Welch's T-Test
How do you report statistics for Welch's T-Test? - ANSWER Statistic: t(df) = XX.XX, p = .XXX Group information: mean + SD for each group (M = XX.XX, SD = XX.XX) Effect size: Cohen's d
What test do you run to see if your analysis has a normal distribution? How do you interpret it? - ANSWER Shapiro-Wilk test p < .05 = non-normal
How do you determine effect size for a t-test? What are the levels? - ANSWER Cohen's d - between 0 and infinity
.8 - large difference
.5 to.8 - moderate difference .2 to .5 - small difference 0 to .2 - no difference
What statistics do you report for a t-test? - ANSWER t(df) = XX.XX, p = .XXX Cohen's d = X.XX M = X.XX, SD = X.XX
How do you calculate df for each type of t-test? - ANSWER Paired samples: df = n - 1 Independent samples: df = n - 2
What does a correlation analysis test? - ANSWER Relationship between two continuous variables
What does a positive relationship indicate? - ANSWER As one variable increases, so does the other
What does a negative relationship indicate? - ANSWER As one variable increases the other decreases
How do you report statistics for a correlation? - ANSWER df = n - 2 r (df) = .XX, p = .XXX r2 = .XX
What does a regression analysis test? - ANSWER Test if one continuous variable predicts another continuous variable
What does the F-ratio represent? - ANSWER How well the line of best fit explains the data
What are the assumptions for a regression analysis? - ANSWER - Both variables measured at the continuous level
Is normality required for a regression analysis? - ANSWER No
How do you determine effect size for a regression? What are the levels? - ANSWER Coefficient of determination (r2)
.26 = large association
.13 to .25 = moderate association .03 to .12 = small association 0 to .02 = no association
How do you calculate the df for a regression? - ANSWER dfM will be 1 for a simple regression dfE will be n - 2 dfT (total) = dfM + dfE
How do you report the statistics for a regression analysis? - ANSWER β = .XX, t = X.XX, p = .XXX F(dfM, dfE) = XX.XX, p = .XXX; r2 = .XX)
What is the required level of power for any analysis? - ANSWER .8 or higher