Deck 9: How Can I Tell If Scores Differ Between Three or More Groups One-Way Independent Measures Anova

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Question
Why should you use an ANOVA, rather than lots of t tests?

A) Lots of t tests risks increasing familywise error
B) Lots of t tests risks reducing familywise error
C) Lots of ANOVAs risks increasing familywise error
D) Lots of ANOVAs risks reducing familywise error
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Question
An ANOVA statistic is an…

A) A value
B) F ratio
C) A ratio
D) p value
Question
The ANOVA statistic is calculated by…

A) Adding the between groups variance to the within groups variance
B) Subtracting the between groups variance from the within groups variance
C) Multiplying the between groups variance by the within groups variance
D) Dividing the between groups variance by the within groups variance
Question
You calculate an F ratio and get a value less than 1. How would you interpret this?

A) There is more between groups variance than within groups variance
B) There the same amount of between groups variance and within groups variance
C) There is less between groups variance than within groups variance
D) There is no within groups variance
Question
What do the Sums of Squares (SS) tell you in the ANOVA calculation?

A) The SS are measures of only the between group variability in the dataset
B) The SS are measures of between group and within group variability in the dataset
C) The SS are measures of only the within group variability in the dataset
D) The SS are measures of only the total variability in the dataset
Question
You have calculated the SSbetween as 8 and the SStotal as 10. What would the SSwithin be?

A) 2
B) -2
C) 80
D) 18
Question
Your study has five conditions. What would the dfbetween be?

A) 5
B) 6
C) 4
D) 1
Question
Which of the following is the correct way to calculate the MSwithin?

A) SSwithin / dfwithin
B) SSwithin * dfwithin
C) SSwithin / SSbetween
D) SSwithin * SSbetween
Question
You calculate an ANOVA with dfbetween of 3 and dfwithin of 13. If you use an alpha level of .050, what would the critical value be?

A) 3.81
B) 3.49
C) 3.41
D) 3.18
Question
Which is the correct way to report this ANOVA result?

A) F (13) = 3.62, p < .050
B) F (3, 13) = 3.62, p < .050
C) F = 3.62 (3, 13), p < .050
D) F (3, 13) < 3.62, p < .050
Question
What is the total of the raw scores for the Older age group?

A) 539
B) 61
C) 307
D) 45
Question
What is the sum of the totals squared (ΣT2)?

A) 460
B) 8882
C) 539
D) 26244
Question
How was the SSerror calculated?

A) 1306 + 1249.7143
B) 1306 - 1249.7143
C) 56.2857 + 19.1428
D) 56.2857 - 19.1428
Question
What is the MSerror?

A) 2.0635
B) 9.5714
C) 4.6384
D) 37.1429
Question
What is the calculated F ratio?

A) 9.5714
B) 2.0635
C) 56.2857
D) 4.6384
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Deck 9: How Can I Tell If Scores Differ Between Three or More Groups One-Way Independent Measures Anova
1
Why should you use an ANOVA, rather than lots of t tests?

A) Lots of t tests risks increasing familywise error
B) Lots of t tests risks reducing familywise error
C) Lots of ANOVAs risks increasing familywise error
D) Lots of ANOVAs risks reducing familywise error
A
Explanation: Lots of t tests risks increasing familywise error
2
An ANOVA statistic is an…

A) A value
B) F ratio
C) A ratio
D) p value
B
Explanation: The F ratio is the statistic that you calculate when you conduct an ANOVA
3
The ANOVA statistic is calculated by…

A) Adding the between groups variance to the within groups variance
B) Subtracting the between groups variance from the within groups variance
C) Multiplying the between groups variance by the within groups variance
D) Dividing the between groups variance by the within groups variance
D
Explanation: You can revise calculating the ANOVA statistic on pp156-161
4
You calculate an F ratio and get a value less than 1. How would you interpret this?

A) There is more between groups variance than within groups variance
B) There the same amount of between groups variance and within groups variance
C) There is less between groups variance than within groups variance
D) There is no within groups variance
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5
What do the Sums of Squares (SS) tell you in the ANOVA calculation?

A) The SS are measures of only the between group variability in the dataset
B) The SS are measures of between group and within group variability in the dataset
C) The SS are measures of only the within group variability in the dataset
D) The SS are measures of only the total variability in the dataset
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6
You have calculated the SSbetween as 8 and the SStotal as 10. What would the SSwithin be?

A) 2
B) -2
C) 80
D) 18
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7
Your study has five conditions. What would the dfbetween be?

A) 5
B) 6
C) 4
D) 1
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8
Which of the following is the correct way to calculate the MSwithin?

A) SSwithin / dfwithin
B) SSwithin * dfwithin
C) SSwithin / SSbetween
D) SSwithin * SSbetween
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9
You calculate an ANOVA with dfbetween of 3 and dfwithin of 13. If you use an alpha level of .050, what would the critical value be?

A) 3.81
B) 3.49
C) 3.41
D) 3.18
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10
Which is the correct way to report this ANOVA result?

A) F (13) = 3.62, p < .050
B) F (3, 13) = 3.62, p < .050
C) F = 3.62 (3, 13), p < .050
D) F (3, 13) < 3.62, p < .050
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11
What is the total of the raw scores for the Older age group?

A) 539
B) 61
C) 307
D) 45
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12
What is the sum of the totals squared (ΣT2)?

A) 460
B) 8882
C) 539
D) 26244
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13
How was the SSerror calculated?

A) 1306 + 1249.7143
B) 1306 - 1249.7143
C) 56.2857 + 19.1428
D) 56.2857 - 19.1428
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14
What is the MSerror?

A) 2.0635
B) 9.5714
C) 4.6384
D) 37.1429
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15
What is the calculated F ratio?

A) 9.5714
B) 2.0635
C) 56.2857
D) 4.6384
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