California State University Northridge Statistics Factorial ANOVA Questions

User Generated

vfbxn1999

Mathematics

California state university Northridge

Description

Question 1 2 pts

Monika wants to measure the amount of money that different graduate school students spend on fast food (measured in dollars). She selects 20 random graduate students at CSUN, 20 random graduate students at UCLA, and 20 random graduate students from USC. She then measures the total amount of money each student spends on fast food at the end of one week. She wants to see (overall) if the amount of money spent by students is significantly different across the different schools. Which type of analysis is appropriate to test for this?

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Scheffe adjustment

Question 2 2 pts

John conducts a one-way ANOVA to compare 4 different groups (using an a = 0.05) and finds that they are significantly different from each other. He is interested in seeing which groups are significantly different from each other, so he conducts a Tukey HSD post-hoc test afterwards (using a = 0.05). However, he wants to make sure that his total Type I error for the one-way ANOVA and the post-hoc test is only 5% (not 10%). Using a Bonferroni adjustment, what would his new alpha level be?

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Question 3 2 pts

You design a study to be a 2 x 3 Factorial ANOVA. Choose the correct amount of independent variables and levels in each independent variable

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3 independent variables, 3 levels in the 1st independent variable, 3 levels in the 2nd independent variable

Question 4 2 pts

In a one-way ANOVA, the Within Groups Error we calculate is based on the difference of each individual's DV score from their group's mean.

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Question 5 2 pts

When you only have two different categorical groups in your IV, performing a dependent samples t-test and a one-way ANOVA will result in the exact same p-value.

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Question 6 4 pts

You run four different one-way ANOVAs. You would like to reduce your Type I error (because after these 4 tests, your Type I error chance is ~20%)! Based on the number of tests you ran, you determine that you need to lower your alpha level to 0.0125 for each ANOVA. If each ANOVA has 3 groups in it (a = 3) and each group has 16 participants (s = 16), what is your new critical F value with this lower alpha level?

(Round your answer to two decimal places)

Question 7 4 pts

After conducting a one-way ANOVA, you find that there are significant differences across four different groups. Each group has an equal number of people in it, so you decide to follow this one-way ANOVA with a Scheffe adjustment to see which of these groups are significantly different from each other. You calculate the final Scheffe value to be 3.256. Based on the means of each group (below), identify ALL of the following groups that are significantly different from each other...

Group 1: 5.248 Group 2: 7.589 Group 3: 8.562 Group 4: 3.123

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Question 8 2 pts

To do a 2x2 factorial ANOVA by hand, you need to have way too much time on your hands, a lot of formulas written down, and a lot of practice (especially for exam 3).

(Choose answer "Yes" below -- it is the correct answer)

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Question 9 6 pts

Given the data for a one-way ANOVA (below), calculate the Sums of Squares Between Groups. Round your answer to two decimal points.

ParticipantGroup 1Group 2Group 3
S120 22 18
S212 20 40
S316 19 10
S416 24 20

(Hint: start by finding the means for the groups...)

Question 10 4 pts

The following Summary Table is incomplete. For this one-way ANOVA, find the missing F value.

Source Sums of Squares Degrees of Freedom Mean Square F
Between Groups 420 2
Within Groups
Total 1764 23
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Question 11 4 pts

Given the following summary table for a one-way ANOVA, calculate an Omega Squared effect size estimate:

Source Sums of Squares Degrees of Freedom Mean Square F
Between Groups 12.56 4 3.14 1.584
Within Groups 188.29 95 1.982
Total 200.85 99
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Question 12 2 pts

If you have a Factorial ANOVA design with two independent variables, you must test to see if your first IV is significant, if your 2nd IV is significant, and whether an interaction of the two IV's is significant.

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Question 13 2 pts

Which of the following is an example of a simple effect analysis in a Factorial ANOVA?

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Question 14 4 pts

Calculate a Tukey HSD value for a one-way ANOVA (based on the following information)...

qT = 4.201 MS (within) = 21.88 n = 15

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Question 15 2 pts

Given the following group means from a 2 x 2 Factorial ANOVA:



Variable A
Group 1 Group 2

Variable B

Group 1

20 40

Group 2

20

40

Which variables (if any) show a main effect?

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Question 16 2 pts

If you have designed a research study with 1 categorical IV (which is split into three separate groups) and 1 ratio DV, you should use a one-way ANOVA to determine if there are any significant differences across all of the groups.

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Question 17 2 pts

In a one-way ANOVA, the three main factors that influence Within Group error are:

1. How close the group means are to each other

2. How spread out the variances of the groups are

3. Whether your IV is a categorical vs. ordinal variable

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Question 18 2 pts

Post-hoc tests are conducted ...

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Explanation & Answer

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Question 1 2 pts
Monika wants to measure the amount of money that different graduate school students spend on
fast food (measured in dollars). She selects 20 random graduate students at CSUN, 20 random
graduate students at UCLA, and 20 random graduate students from USC. She then measures the
total amount of money each student spends on fast food at the end of one week. She wants to see
(overall) if the amount of money spent by students is significantly different across the different
schools. Which type of analysis is appropriate to test for this?

Group of answer choices
FACTORIAL ANOVA
X

ONE-WAY ANOVA
TUKEY HSD TEST
Scheffe adjustment

Question 2 2 pts
John conducts a one-way ANOVA to compare 4 different groups (using an a = 0.05) and finds that
they are significantly different from each other. He is interested in seeing which groups are
significantly different from each other, so he conducts a Tukey HSD post-hoc test afterwards (using
a = 0.05). However, he wants to make sure that his total Type I error for the one-way ANOVA and
the post-hoc test is only 5% (not 10%). Using a Bonferroni adjustment, what would his new alpha
level be?

Group of answer choices
0.01
0.0125
X

0.025
0.017

Question 3 2 pts
You design a study to be a 2 x 3 Factorial ANO...


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