Question

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?

Answer #1

Following are the differences and cases to use the following tests

- One Sample Z-test: It is used when we know the population variance and can be used for one population (or two population).
- One Sample t-test: It is used when we want to find whether the mean is different from a hypothesized value or the mean of the population and we don't know the population variance.
- Independent Samples t-test: Used when we compare the mean difference between two data sets. In this case, the subjects are different in both cases. Samples are independent
- Dependent Samples t-test: Used when we compare the mean difference between two data sets. The same subject is measured twice, once in one condition and 2nd in different conditions. Samples are related

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...

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.

Which of the following is true about the one sample z-test and
one sample t-test:
for a t-test, the population mean and standard deviation are
needed.
The z and t-tests are identical in terms of the amount of
information needed.
for a t-test only the sample mean is needed.
for a z-test the population mean and standard deviation are
needed.
The z and t-tests are identical except for the size of the
sample used.

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?

Discuss when to use the independent samples t-test or
the Mann-Whitney U-test.

11 . Choosing the appropriate test statistic
You are interested in the difference between two population means.
Both populations are normally distributed, and the population
variances σ212 and σ222 are known. You use an independent samples
experiment to provide the data for your study. What is the
appropriate test statistic?
F = √[2/n1 + 2/n2]
F = s1/s2
z = (x̄1 – x̄2) / √[σ2/n1 + σ2/n2]
z = (p̂1 – p̂2) / √[p̂(1 – p̂)(1/n1 + 1/n2)]
Suppose instead...

Explain the differences between a research design that utilizes
an independent measures t-test to analyze the data, and a repeated
measures t-test to analyze the data.

Which of the following statements are true concerning the mean
of the differences between two dependent samples? (matched pairs)?
Select all that apply. A. The methods used to evaluate the mean of
the differences between two dependent variables apply if one has 60
weights of men from Ohio and 60 weights of men from New York. B. If
one has more than 5 matched pairs of sample? data, one can consider
the sample to be large and there is no...

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.

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