Linked Questions

44 votes
4 answers
62k views

What is the difference between McNemar's test and the chi-squared test, and how do you know when to use each?

I have tried reading up on different sources, but I am still not clear what test would be the appropriate in my case. There are three different questions I am asking about my dataset: The subjects ...
Anto's user avatar
  • 783
27 votes
4 answers
19k views

Comparing and contrasting, p-values, significance levels and type I error

I was wondering if anybody could give a concise rundown as to the definitions and uses of p-values, significance level and type I error. I understand that p-values are defined as "the probability of ...
BYS2's user avatar
  • 1,505
16 votes
2 answers
19k views

Why use a z test rather than a t test with proportional data?

When testing the difference between 2 proportions why do we use a z-test rather than a t-test? Further, is there a simple way to conduct an omnibus test for significant differences between more ...
user41270's user avatar
  • 265
22 votes
1 answer
5k views

At What Level is a $\chi^2$ test Mathematically Identical to a $z$-test of Proportions?

BACKGROUND: Skip safely - it's here for reference, and to legitimize the question. The opening of this paper reads: "Karl Pearson’s famous chi-square contingency test is derived from another ...
Antoni Parellada's user avatar
10 votes
2 answers
4k views

Is the beta distribution really better than the normal distribution for testing the difference of two proportions?

I'm working at an online agency, where we run a lot of AB testing in order to test differences in proportion between two groups (test vs. control). Standard practice in the industry for testing ...
Yehoshaphat Schellekens's user avatar
6 votes
1 answer
2k views

Interpretation of p-value in comparing proportions between two small groups in R

I wish to compare proportions between two small groups. In group 1, 2 of 18 students received honours. In group 2, 9 of 21 received honours. This is a small sample, so if I use the t-test: ...
C8H10N4O2's user avatar
  • 967
1 vote
1 answer
4k views

How to test for significance if groups differed at baseline?

I have a situation where I want to test for a statistically significant difference in the percentage of customers who own a product among two groups. The treated group gets a marketing message, and ...
Anon's user avatar
  • 21
2 votes
2 answers
2k views

T Test or Chi Square?

There are 2 variables, City and No Of Matches won. Variables: 1City Sydney Canberra 2No Of Matches Won? Sydney: 200 out of 300 Canberra: 210 out of 300 Question: Is team Canberra ...
user242468's user avatar
1 vote
1 answer
328 views

$\chi^2$ test of significance vs. goodness of fit

I have 644 companies out of which 154 went bankrupt. I investigate below if the bankruptcy is related to the sector type: ...
Maddy's user avatar
  • 768
0 votes
1 answer
545 views

effect size for pairwise permutation

I am reading a paper that is using permutations to compare the means of two different treatment groups (a nutrition study, took minimum - maximum) that have low sample sizes, and so the groups are ...
Michael's user avatar
  • 13