ANOVA Flashcards

1
Q

We use ANOVA instead of multiple t-tests to control the

A

Error rate (familywise error)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What type of error can you make from familywise error?

A

Type 1 - you think there’s an effect when there isn’t

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Independent groups ANOVA the level of measurement for the IV is

A

Nominal/caregoric

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Independent ANOVA the level of measurement for the DV is

A

Interval

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

ANOVA produces an ………statistic

A

F

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

ANOVA compares the

A

Systematic variance to the unsystematic variance

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

What does k represent?

A

Number if groups

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Instead of n-1 for different ANOVA what do we have to do???

A

Take the number of groups I.e. K-3 (3groups)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

One way ANOVA assumptions

A

Interval or ratio measurement for DV
Scores randomly sampled from pops if interest
Scores are independent (participants not in multiple groups)
Scores on DV normally distributed
Homogeneity of variance

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

What test tests homogeneity of variance?

A

Levenes

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

If levenes test is not sig variances are assumed

A

Equal

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

If levenes test is sig than variances are assumed

A

Unequal

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

If normality violated what non parametric test would u use?

A

Kruskal-Wallis

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

If homo of variance is violated what tests would u use?

A

Brown-forsythe or welch f

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

What is the grand mean

A

The mean outcome variable of all groups

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

The bigger the diff between the group means the bigger the difference between the model and the

A

Grand mean

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Total variance is the

A

Total sum of squares

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Model sum of squares is when the variance is calculated

A

Between groups

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Residual sum if squares is where the variance is calculated

A

Within groups

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

ANOVA simply analyses the

A

Variance in scores to determine the source of that variance

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

How to calculate SD?

A

Take each score minus the mean. Add up all and the square them

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

To get the sum of squares SST total we…

A

Take each score from the mean, square it and add them all up

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

How do you calculate sum of squares SSM for the model?

A

Mean of each group minus the grand mean. Square each of the differences. Then multiply each by the n of participants in that group

24
Q

How to calculate sum of squares residual SSR?

A

Sum of squares total SST minus the Model Sum of Squares SSM

25
Q

How many types of degrees of freedom are there with ANOVA?

A

3

26
Q

Between groups ANOVA df calculated by

A

k-1 (k=n of groups)

27
Q

Within groups ANOVA df calculated

A

N-k (k= n of groups, n = total sample size)

28
Q

How do you work out the within groups df?

A

N (total sample) - k (n of groups)

29
Q

To calculate the mean squares we

A

Take the SSM and divide by its df

30
Q

How is F Calculated

A

F = MSM divide by MSR

31
Q

What happens if F is greater than 1?

A

Indicates the experimental manipulation has some effect above and beyond the effect of extraneous factors

32
Q

If F is sig in an ANOVA it indicates that there are

A

Differences among group means that cannot be attributed to error

33
Q

Sig F does not tell us

A

How big these differences are or if they have practical importance

34
Q

Eta squared is just

A

R squared

35
Q

Eta squared tells us about the

A

Effect size in %

36
Q

Observed power tells us

A

The % at which we would expect to get the same result if the study was replicated

37
Q

Power depends on

A

Effect size
Alpha level
Sample size

38
Q

ANOVA tell about

A

The overall effect. Not between each group etc

39
Q

Ways to make comparisons btwn groups in an ANOVA

A

Priori comparisons

Post-hoc comparisons

40
Q

Priori comparisons are comparisons between group means are devised

A

Before data is collected and the ANOVA performed

41
Q

Examples of priori comparisons

A

Multiple independent groups t-tests
Linear contrasts
Nonferrous t
Sidak test

42
Q

Most common priori comparison

A

Bonferroni

43
Q

What do you do with bonferoni?

A

Take alpha and divide by 3 (amount of groups)

44
Q

Post hoc comparisons are conducted between groups

A

AFTER data collected. Look at means and noted which group means appear diff

45
Q

Common post-hoc tests

A
Fischers least sig diff
Student-Newman-keuls tests
Tukeys
The Ryan einot Gabriel welch Q procedure
Scheffe test
Dunnets test
46
Q

Post hoc with equal variances assumed generally use

A

Tukey or REGWQ

47
Q

Post hoc unequal variances use

A

Games howell

48
Q

Factorial designs are diff because they look at 2 or more

A

IVs

49
Q

In factorial designs each level of every factor is

A

Paired with each level of every other factor

50
Q

Factorial designs allow us to establish if

A

IVs interact with one another. Does the effect of an IV depend on another IV? Ie does learning time and learning setting depend on each other?

51
Q

A 2x2 ANOVA has

A

Two IVs

52
Q

Factorial designs are also

A

Mixed designs. Comprise of at least one within subjects factor and at least one between subjects factor. Ie new versus old method

53
Q

Mean square is the

A

Sum of squares divided by its degrees of freedom

54
Q

What is a box whisker plot?

A

Graphically depicts groups of numerical data through quartiles (used this in 1012 assign)

55
Q

Box whisker plots don’t show the

A

Mean