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Lecture 5

# PSYC 333 Lecture Notes - Lecture 5: Total Variation, Location Test, Factorial Experiment

by OC1401892

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**preview**shows pages 1-3. to view the full**19 pages of the document.**PSYC 305 – STATISTICS FOR EXPER DESIGN, WINTER 2018

Lecture 5: Two-Way ANOVA I

Midterm Exam will be on MARCH 1ST, Thursday, from 11:40 am to 12:30 pm.

Comparing Means...

One mean

z-test

One-sample t-test

Two means, one factor

Independent samples t-testMore than two means, one

factor

One-way ANOVA

More than two means, TWO factors

Two-way ANOVA

Independent samples t-test

Only one independent variable

(factor), and it has only 2 levels

(i.e., men & women) so we’ll

compare 2 groups on some

dependent variable (e.g., exam

score), continuous data. and then

it can be normally distributed.

(in this class, always continuous

for ANOVA)

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PSYC 305 – STATISTICS FOR EXPER DESIGN, WINTER 2018

e.g., the effect of nationality on

exam scores. compare mean

scores. if at least one of these

means is diff from other means,

then we can say that there is

some effect of nationality on

exam scores.

each factor has multiple levels

Two-Way Factorial Experiments

We focus on experiments with TWO independent variables or factors.

Factorial designs are those in which factors are completely crossed.

contains all possible combinations of the levels of factors.

When each factor has 3 levels, it is called a 3 x 3 factorial

design, resulting in a total of 9 treatment combinations.

W

e have two factors at the same time, our design will be crossed. crossed = all

possible conditions of 2 factors will be considered

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PSYC 305 – STATISTICS FOR EXPER DESIGN, WINTER 2018

here, we look at 9 combinations at once.

We further assume that

subjects serve only in one of the treatment conditions

(independent-groups design)

sample sizes are equal in each condition (balanced

design).

We will refer to the two independent variables as Factor A (Row) and

Factor B (Column).

Example: 2 x 2 Factorial Design

Zentall, S. S., & Shaw, J. H. (1980). Effects of classroom noise on

performance and activity of second-grade hyperactive and control children.

Journal of Educational Psychology, 72, 830-840.

Two groups of 2nd grade children (hyperactive and non-

hyperactive) solved math problems under high-noise and low-noise

conditions.

W

e have two factors., which have two

levels each.

thus, called 2x2, in total we have 4

diferentf conditions

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