Statistical Test Examples

Chi-Square Goodness of Fit

Want to know if changes to stats course have changed frequency of sophomore/juniors/seniors enrolled in the course.

Single Regression Test

Counseling psychologist wants to know whether stress level can predict sleep quality in college students.

Multiple Regression Test

A psychologists wants to know what predicts depressive symptoms in adults, so she measures 3 different possible predictors and the outcome

Factorial ANOVA

Psychologists wants to know how sleep and caffeine may affect memory performance. She measures sleep condition (4 hours and 8 hours) and caffeine intake ( 0 mg and 200 mg)

One Way Between Groups ANOVA

Professor wants to know if student’s math scores differ based on study method. She has three different groups of students with three different study methods

One Way Within Group ANOVA

Professor wants to know if group of students exam scores change at different points in the semester. One group of students, 3 different time points

Paired Sample T-Test

Coach wants to know if training program improved athletes sprint times. Same athletes run a 100 meter sprint two times, once before the training program and once after the training program to see if the times improved.

Independent Sample T-Test

Psychologist wants to know if mindfulness have an affect on state anxiety. Group 1 completes a state anxiety questionarre after completing a ten minute mindfulness practice. Group two completes the state anxiety questionarre without having practiced mindfulness.

Single Sample T-Test

We want to know whether memory scores in sample of college students differ from known national average, we don’t know the population standard deviation.

Z-test

Comparing single sample to known population and we know both the mean and population standard deviation