Let’s say we have data of some fruits and we want to consider different statistics for each fruit (there are various samples for each statistic). For example:

Watermelon:

• Sugar: 50, 57, 36…
• Water: 101, 143, 128…
• …

Melon:

• Sugar: …
• Water: …
• …

(…More fruits…)

We want to know if, based on this statistics, fruits are the same. I thought about using Kolmogorov-Smirnov test in order to check it. So we have a CDF for each statistic (sugar, water, etc.) of each fruit. If we want to consider all statistics for each fruit, it would be nice to use the multivariate Kolmogorov-Smirnov test for two samples and compare every pair of fruits.

The problem is that I cannot find information about the multivariate test with two samples and I read somewhere that the multivariate test is not that good. Could you tell me a different test I could use? Or the Kolmogorov-Smirnov is a good idea (where can I read about the multivariate for two-samples)?

Let’s say we have data of some fruits and we want to consider different statistics for each fruit (there are various samples for each statistic). For example:

Watermelon:

• Sugar: 50, 57, 36…
• Water: 101, 143, 128…
• …

Melon:

• Sugar: …
• Water: …
• …

(…More fruits…)

We want to know if, based on this statistics, fruits are the same. I thought about using Kolmogorov-Smirnov test in order to check it. So we have a CDF for each statistic (sugar, water, etc.) for each fruit. If we want to consider all statistics for each fruit, it would be nice to use the multivariate Kolmogorov-Smirnov test for two samples and compare every pair of fruits.

The problem is that I cannot find information about the multivariate test with two samples and I read somewhere that the multivariate test is not that good. Could you tell me a different test I could use? Or the Kolmogorov-Smirnov is a good idea (where can I read about the multivariate for two-samples)?