ANOVAs Flashcards

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1
Q

Analysis of Variance

A

Comparison between 2 or more groups

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2
Q

One-way ANOVA

A

An anova with multiple groups where one factor is being tested

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3
Q

Two-way anova (three way four way etc)

A

An ANOVA where more than one operational definition or “factor” is being tested

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4
Q

Between subjects ANOVA

A

An ANOVA where two independent groups are compared

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5
Q

Within subjects ANOVA

A

An ANOVA with two groups whos data are dependent on each other

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6
Q

n, N, K

A

n=number of participants in a group
N=number of participants in a study
k=number of groups (levels in a factor, for instance one two or three majors etc)

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7
Q

Quasi-Experimental assignment

A

An assignment of participants to groups based on a pre-decided factor, “you’re with your group based on this particular aspect”

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8
Q

Experimental Assignment

A

where all participants are randomly assigned to groups

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9
Q

Between groups variation

A

How different are people overall in a group from overall another people in another?

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10
Q

Within group variation

A

How different are people from each other within a particular group in a study

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11
Q

F-Distro

A

A positively skewed one-tailed-test used to test ANOVAs

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12
Q

F-statistic (F-obtained)

A

Test Statistic for ANOVA: mean square between groups divided by mean square within groups (error)
(variance between groups (numerator))/(variance within groups(denominator))

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13
Q

F-Statistic Equation

A

Fobt=MSbg/MSe

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14
Q

Numerator

A

differences between groups

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15
Q

Denominator

A

differences within groups (error)

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16
Q

Overall Degrees of Freedom

A

N-1

17
Q

Between Groups Degrees of Freedom (Numerator Degrees of Freedom)

A

number of groups -1, or k-1

18
Q

Degrees of freedom error (within groups df) (Denominator degrees of freedom)

A

The overall number of participants - the number of groups N-k

19
Q

ANOVA assumptions

A

The data in a population is normally distributed, the data was randomly sampled, one person performing in your study will not affect another person’s performance in your study, the amount of variability that exists within a single group is the same as exists in the other groups being measured

20
Q

ANOVA (Analysis of Variance)

A

A statistical method for testing hypotheses about the variance between k≥2 (greater than two group means) (variance in one or more populations is unknown)

21
Q

Between-persons variation

A

Variation that cannot be explained by having different groups; variation between individual person means within a single group

22
Q

Degrees of freedom between groups

A

The degrees of freedom aligned with the variance of the numerator group means (K-1)

23
Q

F Distribution

A

A positively skewed sampling distribution of f-ratios

24
Q

Fobt (F obtained)

A

Test statistic for ANOVA

25
Q

Fobt Formula

A

Fobt-MSbg/MSe OR variance between groups/variance within groups

26
Q

degrees of freedom error

A

synonym for degrees of freedom within groups or degrees of freedom denominator

27
Q

degrees of freedom between persons (dfBP)

A

df associated with the variance of person means averaged across groups
(n-1) (usually written n sub 1, n sub 2, and so on)

28
Q

One-way between subjects ANOVA

A

A specific type of ANOVA with ONE factor and two + INDEPENDENT groups.

29
Q

Levels of the factor

A

k, or the number of different ways an independent/quasi-indep factor is observed (measuring emotionality, one level might be negative emotionality/affect and another might be positive affect)

30
Q

One-way repeated-measures ANOVA

A

Used to test hypotheses for one factor with two + levels, where the same participants are observed more than once, once at each level

31
Q

Mean square error

A

vairance related to differences within a specific group, the denominator of the test statistic

32
Q

Mean square within groups

A

The mean square error associated with the denominator

33
Q

One-way within-subjects ANOVA

A

An ANOVA conducted on a single group tested at multiple levels of the same factor

34
Q

Post Hoc Test

A

“After-the-fact” test measuring pairwise comparisions, or all the different possible pairs of group means.

35
Q

Pairwise comparisions

A

Comparing every possible pairing of groups to find where significant differences lie

36
Q

Experimenwise alpha

A

The alpha level, usually .05, for multiple tests on the same data. Put another way, the probability of committing a type I error across all tests.

37
Q

Testwise alpha

A

The alpha level for each individual post-hoc test

38
Q

Types of Conservative Post-Hoc Tests

A

Sheffe test, Bonferroni. Conservative here means, “least power, can only find large differences.”

39
Q

Liberal post hoc-tests

A

Tukey’s HSD test, SNK test, Fisher’s LSD test (Liberal here means aimed at finding smaller, more nuanced differences between groups)