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.

The one-way ANOVA is a generalization of what other statistical
test?
ANOVA is a generalization of the two-sample t test for
independent means.
ANOVA is a generalization of Levene's test for differences
between variations.
ANOVA is a generalization of the paired t test for
independent means.
ANOVA is not related to any other tests.
2. The conclusion that you would draw from the test above
is:
A. fail to reject the null hypothesis.
B. reject the null hypothesis. There is...

is one way ANOVA generalization of 2 sample t test and a special
case of regression?
If an observational study's sample is randomly selected, can
ANOVA result conclude cause and effect?
Does large F-stat from ANOVA conclude cause and effect?

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?

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.

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.

The
t statistic compares two groups on one independent variable that
has two levels. We can use the t statistic to compare a sample that
has a level of an independent variable, or we can use two samples
from the same populations and give them two different levels of an
independent variable. You will design a two group study with one
independent variable for this question. Choose an independent
variable that has two levels. The two levels can be 1.)...

QUESTION 11
When you get a statistically significant result from a
two-sample t test (also called an independent samples
t test), it means:
Two groups of subjects, in two different conditions, scored
differently on a response/dependent variable
Subjects scored differently on a response/dependent variable
when tested in one condition versus when those same individuals
were tested in another condition
Subjects who had high scores on one variable tended to have high
scores on another variable
Among three (or more) groups...

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