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1. What tests and analysis for 50 year data collected on fashion trends

So, it is said that whatever is in fashion once comes back someday or the other. We have collected data on 10 different garment types, each having 5 different sub-types on what was in fashion in 50 years. (Eg- Jeans->Waist->High/Low/Mid-rise) We plan on assigning each sub-type a grade/number...
2. Randomness testing using frequency within a block method, chi-square statistic doubt.

The chi-squared statistic under the frequency within a block method is defined as 4M summation of (proportion of 1s in block - 0.5 ) ^2 where M is the length Of each block I understand that this follows a chi-square goodness of fit test observed-expected frequency square. But where does this 4M...
3. Applying for Research (REU) in Statistics- Essay Review ?

So there were two questions that I needed to answer : Explain why you have chosen your current major. I was first introduced to Statistics, my major, in 12th grade while preparing for the common proficiency test conducted for students wanting to pursue accountancy. Studying topics like...