Question

In: Statistics and Probability

Question 1 One of the assumptions of the One-Way ANOVA is that the samples for all...

Question 1

One of the assumptions of the One-Way ANOVA is that the samples for all three (or more) groups are dependent.

True

False

Question 2

One of the assumptions of the One-Way ANOVA is that the samples are from a normal distribution.

True

False

Question 3

Sum of Squares Between + Sum of Squares Within = Sum of Squares Total

Breaking the Sum of Squares Total up into SSBetween and SSWithin is called ____________________ the sum of squares.

answer choices:

seperating

fractions

partitioning

dividing

Question 4

The test statistic for ANOVA's come from the ____ distribution.

answer choices:

F

n

t

z

Question 5

The numerator for the F-statistic is _____________________.

answer choices:

Mean Square Within

Sum of Squares Between

Sum of Square Within

Mean Square Between

Question 6

The formula for degrees of freedom total is _________________________.

answer choices:

n-k

k-1

N-1

n-1

Question 7

The degrees of freedom between is ______________________.

answer choices:

N-1

k-1

n-k

n-1

Question 8

Sum of Squares ________________ is calculated by subtracting each group mean from the grand total mean, squaring each of these differences, and adding these squared-differences together.

answer choices:

Total

Means

Within

Between

Question 9

Sum of Squares __________________ is calculated by subtracting every single score from the grand total mean, squaring each of t

hese differences, and adding all of these squared-differences together.

answer choices:

Total

Between

Scores

Within

Question 10

The alternative hypothesis for a One-Way Anova predicts M1 = M2 = M3 = . . . = Mk, with k being the number of different groups in our data set.

answer choices:

True

False

Solutions

Expert Solution

Question 1

One of the assumptions of the One-Way ANOVA is that the samples for all three (or more) groups are dependent.

False

9 This should be independent )

Question 2

One of the assumptions of the One-Way ANOVA is that the samples are from a normal distribution.

True

Question 3

Sum of Squares Between + Sum of Squares Within = Sum of Squares Total

Breaking the Sum of Squares Total up into SSBetween and SSWithin is called partitioning the sum of squares.

Question 4

The test statistic for ANOVA's come from the F distribution.

Question 5

The numerator for the F-statistic is Mean Square Within

Question 6

The formula for degrees of freedom total is n - 1

Question 7

The degrees of freedom between is k - 1

Question 8

Sum of Squares Between is calculated by subtracting each group mean from the grand total mean, squaring each of these differences, and adding these squared-differences together.

Question 9

Sum of Squares Total is calculated by subtracting every single score from the grand total mean, squaring each of these differences, and adding all of these squared-differences together.

Question 10

The alternative hypothesis for a One-Way Anova predicts M1 = M2 = M3 = . . . = Mk, with k being the number of different groups in our data set.

False

( At least one is different from all )


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