Concepts
Word Problems
ANOVA Basics
Chi Square
100

Why do we need to perform post-hoc tests after finding a significant main effect?


What is-

It does not specify which
means/groups were different.


100

What is this saying?

A one-way ANOVA with F(3, 218) = 2.89, p = .036.

 (answer: we will work through this) 

100

What is the null hypothesis for an ANOVA

What is all groups are equal

100

As the sample size increases, chi-square distributions begin to look like this.

What is a normal distribution?

200

This statistical assumption is violated when one condition’s data spread is very different from the others.

What is sphericity?

200

A study investigates the effect of two types of therapy (cognitive vs.behavioral) and therapy duration (2 weeks vs. 2 months) on anxiety reduction. Participants are randomly assigned to either cognitive or behavioral therapy and to one of the two durations.

What are the independent variables? What are the levels of each variable?

IV1: Type of therapy (2 levels: cognitive vs. behavioral)
IV2: Duration of therapy (2 levels: 2 weeks vs. 2 months).


200

Using a stronger manipulation increases this part of the F-ratio

What is the numerator 

200

I have a chi-square test with a sample of 456 of scores from a standard normal distribution, square each score, and find SS. How many degrees of freedom does the chi-square distribution have?

df= 456

300

The effect of one IV at a single level of another IV

What is a simple effect?

300

If the null is true, the F-statistic should be close to this number.

What is 1

300

A correction to the chi-square statistic is sometimes used when you have a contingency table with...

What is an expected cell frequency that is below 5

400

The degrees of freedom for the main effect of grade level in a 4×2 design

What is 3

400

Participants complete a problem-solving test under three stress conditions (low, moderate, high) while wearing either noise-canceling headphones, regular headphones, or no headphones. Each participant experiences only one stress condition but all headphone conditions.

Mixed design

400

To find the MSB/MSE what do you divide on the table?

What is the SS/DF

400

The Chi Square distribution shows the probability of _____, depending on the # of samples drawn from a normal distribution

the sums of squares

500

This row in a within-subjects ANOVA represents how much the condition effect differs by participant.

What are the within-subject residuals

500

Slides 

Answer

500

A between-subjects experiment compared five groups of people. If the SSQ condition for the main effect of Group was 100, what was the MSB?

100/3= 33.3

500

What does the chi-Square distribution do?

The chi-square distribution shows the probability for
different sums of squares when sampling condition scores from a z-distribution.

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