Statistically, how to find a subset of values which seems to have same magnitude?

Question

Data Set Description

I have a data set where students' spent time on study is available.

In this table, student 4 to student 10 seem to spend similar amount of time on study. There is very little variation.

My Question

Is there any statistical method by which I can say "Yes, student 4,5,6,7,8,9,10 spending time on study is similar".

Or

Is there any method by which I can say "Yes, student 4,5,6,7,8,9,10 spending time on study is not significantly different.".

How Did I Try?

I think methods like t-test, ANOVA, Kruskal can not be applied in this case. I was thinking about variance which can say about this. But I am really not sure. I have searched using different keywords in Google, but sorry to say, I did not find the answer.

k-means clustering is a method of vector quantization that aims to partition n observations into k clusters. Have you tried to cluster the vector of observation into 3 clusters using k-means? — Jesper for President, May 11 '20 at 11:01
Thank you for your valuable suggestion. I forgot thinking about this method. I will study on this and will let you know. — Md Sabbir Ahmed, May 11 '20 at 11:05
@JesperforPresident: do you want to post your comment(s) as an answer? Better to have a short answer than no answer at all. Anyone who has a better answer can post it. You could also suggest one-dimensional clustering in general, k-means is not always the best choice. — Stephan Kolassa, May 11 '20 at 11:22
No i do not, someone else can do it. Sorry do not have time. Otherwise i think it can be closed as duplicate since i guess some else has explained how clustering algorithms work. — Jesper for President, May 11 '20 at 15:18
@JesperforPresident Thanks. Your suggestion solved my problem. — Md Sabbir Ahmed, Jun 07 '20 at 04:46
Cool, happy to hear, maybe you could then post your solution as an answer, with a small scale coding example if you have the time, then we can closte the question (site statistics you know). — Jesper for President, Jun 07 '20 at 13:19

Statistically, how to find a subset of values which seems to have same magnitude?

0 Answers0