Comparing Means: One or Two-Sample T-test

Question 1

A type of inferential statistics used to determine if there is a significant difference between the means of two groups, which may be related to certain features.

Answer 1

T-test

Question 2

It needs to have one independent variable and one dependent variable.

Answer 2

T-test

Question 3

This variable can only have two levels.

Answer 3

Independent variable

Question 4

What should be used when the independent has more than two levels?

Answer 4

One-way analysis of variance / One-way ANOVA

Question 5

It takes a sample from each of the two-sets and establishes the problem statement by assuming a null hypothesis that the two means are equal.

Answer 5

T-test

Question 6

What does a null hypothesis that is qualified to be rejected indicates?

Answer 6

It indicates that the data readings are strong and are probably not due to chance.

Question 7

Three key data values

Answer 7

1. Difference between the means or the mean difference.
2. Standard deviation for each group.
3. Number of subjects in each group.

Question 8

Other terms for dependent sample t-test

Answer 8

Paired t-test / Paired sample t-test

Question 9

It compares the means of two related groups to determine whether there is a statistically significant difference between the means.

Answer 9

Dependent t-test

Question 10

It is performed when samples consist of matched pairs of similar units or when there are cases of repeated measures.

Answer 10

Dependent t-test / Paired t-test / Paired sample t-test

Question 11

SSCMC

Hypothesis Test Steps Using Dependent/Paired sample t-test

Answer 11

1. State the null and alternative hypothesis.
2. Set the level of significance or alpha level.
3. Calculate the t-value and the critical value.
4. Make a statistical decision.
5. Conclude.

Question 12

Example of dependent sample t-test

Answer 12

• Someone wants to know if a new thing/method helps as compared to before.
• Cases of repeated measures; samples are the same but data are taken at two different times.

Question 13

Decision rule using the p-value.

Answer 13

p-value ≤ significance level : reject null hypothesis

p-value > significance level : fail to reject null hypothesis

Question 14

Decision rule using the critical value.

Answer 14

t-value ≤ critical value : fail to reject the null hypothesis

t-value > critical value : reject the null hypothesis

Question 15

It compares the averages of two samples selected independently of each other.

Answer 15

Independent Sample T-test

Question 16

Here, the subjects in the two groups are not the same.

Answer 16

Independent Sample T-test

Question 17

Give situations where independent sample t-test can be used

Answer 17

• Someone wants to compare something between two different places

Question 18

Its purpose if to compare two independent groups.

Answer 18

Independent Sample T-test

Question 19

What is another name of equal variance?

Answer 19

Pooled Variance

Question 20

What is another name of unequal variance?

Answer 20

Separate Variance

Question 21

Two types of independent t-tests

Answer 21

1. Equal Variance
2. Unequal Variance

Question 22

It is used when the two groups’ variance is assumed to be similar.

Answer 22

Equal Variance / Pooled Variance

Question 23

It is used when the variance of the two groups is assumed to be different.

Answer 23

Unequal Variance / Separate Variance

Question 24

Hypothesis Test Steps Using Independent sample t-test

Answer 24

1. State the null and alternative hypothesis.
2. Set the level of significance or alpha level.
3. Calculate the t-value and the critical value.
4. Make a statistical decision.
5. Conclude.

Question 25

Formula for df of a dependent sample t-test

Answer 25

df = n-1

Question 26

Formula for df of an independent sample t-test

Answer 26

df = nₓ + nᵧ - 2