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HS 3801 > week 10 > Flashcards

week 10 Flashcards

dependent anova

1
Q

why will unsystematic error variance shrink

A

due to size of systematic error variance

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2
Q

all error in an independent group design is

A

random

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3
Q

assumptions of dependent ANOVA

A
  1. INDEPENDENT RANDOM SAMPLING
  2. NORMALITY
  3. CIRCULARITY OF THE VARIANCE
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4
Q

sum of squares for treatment is the same as

A

independent anova

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5
Q

treatment variance

A

difference between group means

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6
Q

unsystematic error variance

A

variability within each group

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7
Q

systematic error variance

A

variance that is unique to each block/participant

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8
Q

SSerror

A

SStotal-SStreatment-SSblock

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9
Q

sum of squares for treatment

A

sum of squared deviations of the treatment mean about the grand mean

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10
Q

sum of squares for block

A

sum of squared deviations of the block mean about the grand mean

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11
Q

DF treatment

A

k-1

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12
Q

DF blocks

A

b-1

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13
Q

DF unsystematic error

A

(k-1)(b-1)

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14
Q

when will the dependent anova be more powerful than independent anova

A

if subject variance that is removed reduces the unsystematic error term to a sufficient degree

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15
Q

what is the primary difference between independent and dependent anova

A

partitioning of error variance into systematic and unsystematic error variance

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16
Q

What happens to the F ratio as the treatment variance increases?

A

It increases
- further it gets from 1 = more likely it is statistically significant

17
Q

Why do we want to undertake additional error control?

A

To increase the power of our analysis

18
Q

if you are trying to increase size of f-ratio what should you do

A

decrease magnitude of error term

19
Q

what is simplist way to control error

A

arrange data into blocks

20
Q

as unsystematic error shrinks f ratio becomes

A

larger

21
Q

What is the circularity of the variance/covariance assumption?

A
  • variance of difference between any two treatment groups, is equal to variance of the difference between any other two
  • most typically tested using Machly’s test of sphericity
22
Q

Why is the sum of squares for the error term different in dependent ANOVA from independent?

A

The unsystematic error term of the independent groups ANOVA has been partitioned into systematic sources of error and unsystematic sources of error
- since it was partitioned further it changes

23
Q

What does a non-significant F-ratio for the blocks effect suggest

A

a non-significant F-ratio for the blocks effect does NOT suggest that you should run the analysis without removing systematic error
- it is possible that the removal of non-significant block or subject variance will have a sufficient impact on the unsystematic error term as the justify the lower df in error

24
Q

What is a non-significant F-ratio

A

F ratio of 1.00
- recall that our goal in testing the omnibus F-ratio is to evaluate whether or not F is significantly larger than 1

25
Q

is the df for the error term smaller in dependent of independent groups ANOVA

A

Df for the error term is markedly less than the df for the independent groups ANOVA
- this is a direct parallel to the dependent groups ANOVA is the subject variance that is removed reduces the unsystematic error term to a sufficient degree as to compensate for the reduction in power associated with a lower df

26
Q

when should you calculate a partial eta square

A

if we want to evaluate the percentage of variance that is accounted for by the treatment effect, after controlling for the subject variance that you removed from your design - you should calculate partial eta-square

27
Q

in a dependent group ANOVA what does the partial eta square tell you

A

The percentage of variability that is due to the treatment, after controlling for SYSTEMATIC error

28
Q

what can block variance be described as

A

systematic error variance

29
Q

What does unsystematic error variance refer to in a dependent groups ANOVA?

A

The variability within each group

30
Q

What does systematic error variance refer to in a dependent groups ANOVA?

A

the variability unique to each subject

31
Q

the reason to undertake additional error control is to

A

increase the power of our analysis

31
Q

systematic error variance in a dependent anova

A

variability that is unique to each subject/block

31
Q

better control of error =

A

greater power in ANOVA

32
Q

in independent group anova the error term is partitioned into error and – term for the dependent anova

A

error and block

33
Q

arranging data into blocks allows you to

A

remove subject variance from your unsystematic error variance

HS 3801 (4 decks)

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