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Chapter 1 Statistics > Chapter 11- One Way ANOVA > Flashcards

Chapter 11- One Way ANOVA Flashcards

1
Q

When will the F- distribution approach normal distribution?

A

The F distribution will approach normal distribution when there are large samples sizes

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2
Q

What other distribution is like the F-distribution?

A

The F distribution is like the T when there are only 2 samples

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3
Q

What is the F-statistic?

A

The F-Statistic is a ratio of two measures of variability

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4
Q

What are the two measures of variability with the F statistic?

A

Between-groups and within-groups

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5
Q

What is between-groups variance?

A

Between groups is the estimate of the population variance based on the spread between group means

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6
Q

What is within-groups variance?

A

Within groups variance estimate of the population variance based on the average variability within each group

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7
Q

How is the F-statistic calculated?

A

The F-statistic is calculated by dividing the between groups variance by the within groups variance

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8
Q

How do you increase the F-statistic?

A

The F statistic can be increased by increasing the variability between means or decreasing the variability within groups

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9
Q

What is a one-way ANOVA?

A

One nominal independent variable with more than 2 levels, scale dependent variable

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10
Q

What is a One Way Within Groups ANOVA?

A

One Way Within Groups ANOVA is more than 2 samples, composed of the same participants. Also called repeated measures

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11
Q

What is a One Way Within Groups ANOVA?

A

One Way Between Groups ANOVA is more than 2 samples, each composed of different people.

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12
Q

What are the assumptions of an ANOVA?

A

Random and independent, population distribution of dependent variable is normally distributed, and samples come from populations with same variance (homoscedasticity)

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13
Q

What is heteroscedasticity?

A

Heteroscedasticity is when samples come from different variances

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14
Q

What are the 6 steps of ANOVA Hypothesis Testing?

A
  1. Identify pops, distributions, and ck assumptions
  2. State null and research/alternative hypothesis
  3. Determine characteristics of null distribution
  4. Determine Critical Values
  5. Calculate test statistic
  6. Make a decision
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15
Q

How do you calculate the dfbetween?

A

Calculate the number of groups-1

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16
Q

How do you calculate the dfwithin?

A

Calculate the total number of participants - the number of groups

17
Q

How do you calculate the dftotal?

A

Calculate the total participants-1

18
Q

What is the MS and how do you get this number?

A

Mean Square. It is the SS divided by the degrees of freedom

19
Q

What is the SS?

A

The SS is the sum of squares; its the sum of deviation scores squared

20
Q

What is the SS total?

A

The SS total is the sum of all squares ignoring the separate groups

21
Q

How do you calculate the MS between?

A

The MS between is calculated by dividing the SS between by the dfbetween

22
Q

How do you calculate the MS within?

A

The MS within is calculated by dividing the SSwithin by the dfwithin

23
Q

How do you calculate the F statistic after calculating the MS between and the MS within?

A

The F statistic is calculated by dividing the MS between by the MSwithin

24
Q

What formula is used to calculate effect for ANOVAs?

A

R2

25
Q

What is the R2 and what are the sizes?

A

R2 is the proportion of variance in the dependent variable that is accounted for by the independent variable. You can convert this amount to a percentage. The sizes are sm= .01, med=.06, and large is .014

26
Q

What happens when multiple comparisons are made?

A

The more comparisions we do, the more likely we mare going to make a type 1 error

27
Q

What is a post hoc test?

A

A post hoc test is a test used to compare multiple groups (two at a time)

28
Q

What does the post hoc test protect from?

A

A post hoc test protects from inflating a type 1 error

29
Q

When is a post hoc test conducted?

A

A post hoc test is only conducted if the overall F test is signifigant

30
Q

What is the name of the most common post hoc test?

A

Tukey HSD

31
Q

What is the critical value of the Tukey HSD?

A

Q-value +/- 3.77

Chapter 1 Statistics (15 decks)

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