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Statistical Tests and Analysis: A Comprehensive Guide with Exercises and Solutions, Exams of Advanced Education

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.

Typology: Exams

2024/2025

Available from 04/18/2025

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CMN3102 Lab Exam With
Complete Solution
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
- Each participant can only contribute to one cell in the contingency table
- The expected frequencies for any given cell cannot be below 5
- Not using dependent/independent variables - only looking for a
relationship
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
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CMN3 102 Lab Exam With

Complete Solution

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

  • Each participant can only contribute to one cell in the contingency table
  • The expected frequencies for any given cell cannot be below 5
  • Not using dependent/independent variables - only looking for a relationship

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

  • Sample is random

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

  • No outliers (extreme scores) in the data (this would ruin the best fit line)
  • Linearity: The association should be linear

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