L11 - Multi sample compatibility mode

Question 1

what does the Chi-squared Test for two or more independent samples do?

Answer 1

it compares two or more samples to Infer similarity or differences of their parent population.

Question 2

what are the assumptions for an independent multi sample Chi-squared test? (four of them)

Answer 2

1. Nominal or higher
2. Two mutually exclusive categories
3. if only two categories the expected frequency in each must be greater than or equal to 5.
4. If greater than 2 categories, no category should have an expected frequency less than 1, no more than 20%, an expected frequency less than 5.

Question 3

what does the p-represent in a chi-squared multi-sample compatibility test?

Answer 3

using an arbitraty significance level of alpha (0.01, 0.05) we can determine whether or we reject the null hypothesis if our p-value is above or below it .

Question 4

with a significance value of 0.05 and a P-value of 0.123, do we reject or fail to reject the null hypothesis? (the null hypothesis states that there is no statistical difference between the datasets)

Answer 4

the calculated p-value is above the significance level, meaning that we reject the null hypothesis.

Question 5

what does a Kolmogorov-Smirnov two sample test do?

Answer 5

it is used to measure statistically significant variance between two mutually exclusive categories.

Question 6

what are the two assumptions that must be met for a kolmogorov-Smirnov two sample test?

Answer 6

1. observations are independent events measured at the ordinal scale or higher
2. there are at least 2 mutually exclusive categories

Question 7

what does Mutually Exclusive mean?

Answer 7

two events or datasets that cannot occur at the same time.

Question 8

what is a Likert scale

Answer 8

a scale that has things like:
- strongly agree
- agree
- neutral
- agree
- Strongly Agree

Question 9

what kind of test is used to measure difference between two samples

Answer 9

Kolmogorov-Smirnov and Chi-squared test.

Question 10

What is a compatibility mode

Answer 10

it is a measure of compatibility between two datasets.