Question

HW 6: z-test, t-test for independent samples, t-test for related samples, 1-way ANOVA

Researchers wanted to explore different treatment methods to effect memory skills in high school freshmen. Subjects were given a memory test (under multiple conditions) these were the results:

Group 1

10, 8, 9, 11, 8, 9, 7, 6, 9, 8

Group 2

12, 10, 11, 9, 13, 8, 9, 12, 11, 11

Group 3

10, 9, 10, 9, 11, 8, 7, 9, 10, 11

Using the data above, run (all steps for) the following statistic tests:

- z-test (non-directional, by hand) – using group 1 as the population and group 2 as your sample
- t-test independent samples (directional, in SPSS) – using groups 1 and 2
- t-test related samples (directional, by hand AND non-directional in SPSS) – using groups 1 and 2
- 1-way ANOVA (non-directional (as it must be) in SPSS) – using all three groups

- for all tests use an alpha of 0.05.

- This HW has 5 problem sets (4 listed, but #3 is done twice by hand and in SPSS requiring all steps for 2 separate statistics tests).

- All SPSS results must be printed and turned in with HW

Answer #1

1. Which of the following statements are true of One-way
ANOVA test?
a. It is a robust test (with sufficiently large samples and
relatively equal groups) even when the sample data are
statistically significantly different from normal distribution.
b. All of the other statements are correct.
c. It involves a dependent variable measured on a continuous
scale.
d. It involves an independent variable measured on a categorical
scale with 2+ groups/categories.
e.It compares the mean/average scores of the 2+ groups...

I need an explanation on how a one-way ANOVA test is different
from an independent samples t-test. Please try to include actual
real-life examples will make it easier to process the material and
easier to help me understand

1. A researcher is comparing scores from two treatment groups
using independent samples t test. Use a Hartley’s
F-max test to examine this assumption (each group has 6
participants, s2 in group 1 is 20, and s2 in
group 2 is 15, set alpha level at .05). Also, how should this
researcher estimate the standard error in the independent samples
t test?

1. A “one-way” between-subjects ANOVA is conducted when data are
recorded in one group.
True
False
2. Post hoc tests control for the total alpha level for a series
of tests conducted on the same data.
True
False
3. All post hoc tests control for the effect size of a
significant result.
True
False
4. A one-way between-subjects ANOVA is conducted to test for
mean differences between the levels of two or more factors.
True
False
5. A researcher conducts...

SPSS Portion
Here you analyze T tests in SPSS, and interpret
output.
Part I Independent Sample (8 points) (part 2 is below)
There is research being conducted on chow for small dogs. Below
are the comparison between weights (wt) of a group of dogs with
normal food and with the special food. Group 1 is the group that
had the Normal Diet, and Group 2 is the group that had the Special
Diet.
Wt Group
4 1
6 1
5...

Question 10.25 pts
If you are using SPSS to conduct a two independent samples
t-test, examining the impact of your independent variable of
"smoking status" (smoker vs. non-smoker) on your dependent variable
of "number of cavities reported in a 3 year period", the variable
of "number of cavities reported in a 3 year
period" would be your identified "Grouping
Variable" in the Independent Samples T-Test pop up
box.
True
False
Flag this Question
Question 20.25 pts
If SPSS reports a...

Independent Samples T-Test
95% CI for Mean Difference
t
df
p
Mean Difference
SE Difference
Lower
Upper
Cohen's d
Reading Level
1.995
69
0.003
0.878
0.289
0.293
1.493
0.721
The test is: Conduct a two-independent samples t test to
determine if people with high IQs differ reading level compared to
people without a high IQ.
Using this table, first state if this test is directional or non
directional. write the test results for a two-independent samples
t-test. State which value...

What causes the p-value to be the same in an independent sample
t-test and as a one-way ANOVA?
1. Is it because dependent variables are the same while the
independent variable is different across the two methods?
2. Because ANOVA is a special case of the independent samples
t-test.
3. Because ANOVA is a generalization of the independent sample
t-test?

Q1. Why would you perform a one-way ANOVA over
a t-test? Is the answer, when the population means of only two
groups is to be compared, a t-test is used, but
when means of more than two groups are to be compared,
ANOVA is preferred (Y/N)
Q2. A rag-tag group of bandits crash the party
to steal candy. In a frenzy, you carefully record the numbers of
different candies that group grabbed. You arrange
the data in a table, below:...

Independent-Samples t-Test
In a research project, researchers track the health and
cognitive functions of the elderly in the community. To examine any
possible gender differences in their sample, they want to see if
the females and the males differ significantly on the education
level (number of years of formal schooling). The researchers are
not predicting any direction in the possible gender differences so
the hypotheses should be non-directional. They would like to run a
two-tailed test with α = .10....

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