Question

In: Statistics and Probability

How can the assumptions of a one sample t-test be verified?

How can the assumptions of a one sample t-test be verified?

Solutions

Expert Solution

Assumptions are:

  • The variable must be continuous (interval/ratio).
  • The observations are independent of one another.
  • The variable should be approximately normally distributed.
  • The variable should not contain any outliers

Verification:

1) Level of Measurement

For this test, sample data should be numeric and continuous. If our data is continuous i.e, any real values then this assumption holds.

2) Independence

If the observations are selected using simple random sampling method especially of without replacement, then this assumption hold. We can also use non parametric test for randomness checking such as run test for the validation of this assumption

3) Normality

A lot of method is there to verify Normality assumption, among such methods the simplest one is histogram. If the histogram is approximately bell shaped symmetrical then Normality assumption holds

4) Outliers

Boxplot is a useful graphical tool will give Outliers. If none of the observations placed outside of boxplot guarantees this assumption.

Dear student if you satisfied Please Thumbs up and Support me.. Thanks


Related Solutions

how can power and confidence of results be increased using t test ( one sample t...
how can power and confidence of results be increased using t test ( one sample t test, 2-independent and paired samples t test).
Identify the assumptions for a two-independent sample t test
Identify the assumptions for a two-independent sample t test
The one-sample z-test and the one-sample t-test both test if a sample mean is representative of...
The one-sample z-test and the one-sample t-test both test if a sample mean is representative of a population. What is the difference between these two tests?
List and explain the t-test assumptions.
List and explain the t-test assumptions.
I assert that the critical value of t, for a One sample t Test with a...
I assert that the critical value of t, for a One sample t Test with a nondirectional alternative hypothesis and using a particular α level, will increase as sample size increases. Am I correct? Circle “YES” or “NO.” If NO, explain why not?
How do you cross reference check a two sample t-test hypothesis? Identify assumptions, cautions, limitations, and...
How do you cross reference check a two sample t-test hypothesis? Identify assumptions, cautions, limitations, and generalizations for a two sample t-test hypothesis.
How do you cross reference check a two sample t-test hypothesis? Identify assumptions, cautions, limitations, and...
How do you cross reference check a two sample t-test hypothesis? Identify assumptions, cautions, limitations, and generalizations for a two sample t-test hypothesis.
Explain the assumptions for using a two-independent sample t test. Provide an example for when you...
Explain the assumptions for using a two-independent sample t test. Provide an example for when you could use a a One-Sample t test. Provide an example for when a Two-Sample t Test.
what are the differences between: 1. one sample z-test 2. one sample t-test 3. independent sample...
what are the differences between: 1. one sample z-test 2. one sample t-test 3. independent sample t-test 4. dependent sample t-test 5. what type of information comes from a known population vs. your sample data
Decide and state whether a one-sample z test, a two- sample z test, or a t...
Decide and state whether a one-sample z test, a two- sample z test, or a t test is appropriate. Whichever test you choose, state your null hypothesis, then obtain a P -value and formulate a valid conclusion. 1a.) 20 subjects who do not speak German are asked to participate in a trial for a new type of crash course in the German language. 10 subjects are randomly placed in Group A, to test the new teaching method, while the other...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT