Factorial Design

Question 1

Designs which include multiple independent variables are known as…

Answer 1

Factorial Design

Question 2

For a design with 2 independant levels and 2 different croups only tested in 1 condition, what design would u use?

Answer 2

2𝑥3 two-way, between-groups design.

Question 3

What are the steps to analyse a two-way between-groups design?

Answer 3

1, State the null hypotheses (𝐻_0)

2, Partition the variability

3, Calculate the mean squares

4, Calculate the F-ratios

Question 4

There are 3 null hypotheses for a two-way between-groups design

Answer 4

Means of different levels of the first IV (𝑨) will be the same

Means of different levels of the second IV (𝑩) will be the same

Differences between means of 𝑩 at different levels of 𝑨 are the same (there is no interaction between 𝑨 and 𝑩).

We want to disprove all of these

Question 5

What is the No Interaction effect?

Answer 5

No interaction between conditions (𝑯_𝟎 Null is true)

So you form your new hypothesis as the DV does not affect how IV changed

Question 6

If there is seen to be an Interaction Effect then…

Answer 6

𝑯_𝟎 Null is false

Question 7

Total deviation is the sum of

Answer 7

within-groups design
and
between-groups deviations

Question 8

𝒚̅_(𝑨,𝒊)

Answer 8

means the average accross all subject designs

Question 9

𝒚̅_𝑻

Answer 9

is still the total (grand) mean of all scores

Question 10

𝒚̅_(𝑨𝑩,(𝟏)(𝟏)) ij

Answer 10

Low caffeine IV level 1
IV level 1

Question 11

𝒚̅_(𝑨𝑩,(𝟐)(𝟑)) ij

Answer 11

High caffeine IV level 2
IV level 3

Question 12

𝒚̅_(𝑩,𝒋)

Answer 12

mean score of IV level
across IV level 1

Question 13

𝒚_(𝑨𝑩)

Answer 13

subjects single score they got (DV)

Question 14

so basically, The between-group deviation for the effect of the interaction is…

Answer 14

(𝑦̅_𝐴𝐵−𝑦̅_𝑇 )−(𝑦̅_𝐴−𝑦̅_𝑇 )
−
(𝑦̅_𝐵−𝑦̅_𝑇 )=𝑦̅_𝐴𝐵−𝑦̅_𝐴−𝑦̅_𝐵+𝑦̅_𝑇

Question 15

total sum of squares for a one-way between-group design is…

Answer 15

〖𝑆𝑆〗_𝑇=〖𝑆𝑆〗_𝐴+〖𝑆𝑆〗_𝑅

Question 16

Sums of squares associated with the two-way between-groups design are a bit more involved…

Answer 16

〖𝑆𝑆〗_𝑇=〖𝑆𝑆〗_𝐴+〖𝑆𝑆〗_𝐵
(between groups)

+〖
𝑆𝑆〗𝐴𝐵+〖𝑆𝑆〗(𝑆/𝐴𝐵)
(within groups)

Question 17

sum of squares:
𝑺𝑺_𝑨𝑩 refers to

Answer 17

the squared differences related to an interaction between 𝑨 and 𝑩 – are the effects of 𝑨 different at different levels of 𝑩

Question 18

𝑺𝑺_(𝑺/𝑨𝑩) refers to

Answer 18

refers to the residual error – what’s left over after we’ve accounted for 𝑨

Question 20

To calculate F-Ratios, we need to calculate…

Answer 20

the mean squares associated with:

Main effect of A
Main effect of B
Interaction between A and B
Error Term

Question 20

How do we test
the effect of IV on DV
for individual IV 2 ?
For each level, perform:

Answer 20

F tests for simple main effects

Planned or post hoc comparisons (low vs high)

Question 20

The significant interaction effect suggests

Answer 20

it might be difficult to interpret the main effects.
To do this, we need to analyse simple main effects

Question 21

If all IVs are between groups
We use a

Answer 21

Between-groups design

Question 22

If all IVs are collected from the same participants
We use a

Answer 22

Within-subjects or repeated-measures design

Question 23

If at least one IV is between groups and at least one IV is within
We use a

Answer 23

Mixed design

Question 24

Effect of a single variable is known as a

Answer 24

Main Effect

Question 25

Effect of two variables considered together is known as an

Answer 25

Interaction Effect

Question 26

For two-way between-groups design, an omnibus F-ratio is calculated for each of the following:

Answer 26

Main effect of the first variable

Main effect of the second variable

Interaction between the first and second variables

Question 27

If a significant interaction effect is found, you should test for

Answer 27

simple main effects

Question 28

Designs which include multiple independent variables are known as

Answer 28

factorial designs

Question 29

What three pieces of information
does the name of an experimental design depends on

Answer 29

Number of independent variables

Number of levels of each independent variable

Kind of independent variable

Question 30

If two independent variables
there needs to be a…

Answer 30

Two-way design

Question 31

If three independent variables
there needs to be a…

Answer 31

Three-way design

Question 32

2𝑥3𝑥4 three-way design is used when…

Answer 32

there are multiple IVs with multiple levels each

Question 33

2𝑥3 two-way design (2 by 3) is used when…

Answer 33

the first IV has two levels and the second IV has three levels