Question

What is the difference between a t test of independent means and a t test of dependent means? Provide examples of when you would use each type of t test.

Answer #1

The difference between a t test of independent means and a t test of dependent means :

i) when two samples are taken from two independent populations or a group of people is randomly assigned to different groups and then they have gone thorugh different types of experiments, in this case to compare the means, one should use t test of independent means.

example : a group has been randomly divided to two groups and given two drugs A and B.To check the quality of life improved for patients who took drug A as opposed to patients who took drug B?

ii) when same group of people have gone thorigh different types of experiments, then to compare population means, one can use t test of dependent means.

example : one might have tested participants' eyesight (dependent variable) when wearing two different types of spectacle (independent variable).

What is the difference between a t test for independent
samples and a t test for related (dependent) samples?
Give an example of when you would use each?

1. Provide an example
of a study that would utilize a t test for independent
means.
2. How is this
different from a situation in which you would carry out a
t test for dependent means?

When would a researcher use a t-test for independent means?
Provide an example.

1. if a statistically significant difference was found between
two means using an independent-samples t test, which of the
following interpretations would be correct.
A) something over and above sampling error is responsible for
the difference between sample means
B) the difference between two means is meaningful.
C)it is unlikely that something other than error is responsible
for the difference between the sample means.
D) the difference between the two means is due to a large effect
size
2. in...

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 difference between a One sample
t-test, Unpooled t-test, Pooled
t-test, Paired t-test, and Mann
Whitney U test? How do you know when to use each test?

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.

Would you use a paired t-test or an unpaired t-test to analyze
the difference between observed means of sprinting speeds between
football players and swimmers? Explain your answer.

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.

An independent t-test is used to test for:
Differences between means of groups containing different
entities when the sampling distribution is normal, the groups have
equal variances and data are at least interval.
Differences between means of groups containing different
entities when the data are not normally distributed or have unequal
variances.
Differences between means of groups containing the same entities
when the data are normally distributed, have equal variances and
data are at least interval.
Differences between means of...

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