Question

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?

Answer #1

3. Because ANOVA is a generalization of the independent sample t-test.

Explanation:

We use the independent samples t-test for the comparison of the two population means, but when we are given more than two populations for comparison, and then we need to perform more than one t-test. For example, for comparison of the three population means, we need to perform 3 different independent samples t-tests. So, for avoiding doing these several multiple t-tests, we use ANOVA F test as the generalization of the independent samples t-test.

Determine whether you would use an independent t-test, dependent
t-test, or ANOVA with the following:
a. You have one qualitative independent variable, two levels, a
quantitative dependent variable and different participants in each
level
. b. You have two qualitative independent variables, two levels
each, and a quantitative dependent variable.
c. You have one qualitative independent variable, two levels, a
quantitative dependent variable and same participants in each
level.

This semester we have discussed the following statistical
analyses.
Z-test
One-Sample
t-test
Independent Groups
t-test
Repeated Measures t-test
One-Way ANOVA
Repeated Measures ANOVA
Correlation
Fill in the table with the correct defining term.
? is given
µ is given
Groups Compared
Test Used
No
No
Looks at the same group at 2 different times or across two
different conditions
Yes
Yes
Sample against population
X
X
Examines the degree to which two variables relate to one
another...

Select the statement that is true.
The independent variable is only used in the independent t-test
and the dependent variable is only used in the dependent
t-test.
The independent t-test is never used in a calculation with more
than two groups or sets of data.
Independent means that the independent t-test is not related to
any other type of t-test.
The matched pairs t-test will usually have greater variance than
the independent t-test when using the same variables.

discuss the differences between a one-sample z-test, one-sample
t-test, the independent samples t-test and the dependent samples
t-test. Specifically, under what circumstances would you conduct
each test and what type of information comes from a known/defined
population versus your sample data?

What is the appropriate test (e.g., Independent Samples T Test,
Paired Samples T-Test, ANOVA, Correlation) and why (e.g., what type
of variables are you analyzing)?
What is the effect of living arrangements on the overall
satisfaction at University.

True or False
When using Levene's test for ANOVA, the p-value should not
indicate statistical significance (e.g. p<.05) because the null
hypothesis states that the variance of the dependent variable is
the same across comparison groups.

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...

When we compute an independent-samples t-test, we are
looking to see if there are significant differences between the
means of two independent groups, each measured on a different level
of the independent variable.
True or False
When we compute a paired-samples t-test, we are looking
to see if there are significant differences between the means of
two independent groups, each measured on a different level of the
independent variable.
True or False
If the p-value is > than 0.05, the...

The P-value for a chi-square test is always one-tailed. This is
true because of all of the following reasons, EXCEPT:
Group of answer choices
Observed data that is either higher or lower than the null
hypothesis predicts will result in a positive chi-square value.
Only a large positive value of chi-square provides
stronger evidence to conclude HA.
A chi-square distribution is skewed.
The chi-square statistic is always positive, unlike a z
or t statistic which can be ether positive or...

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...

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