My question is related to psychometry. One survey is measured in this way:Question 1Claim 1     0 1 2 3 4 5 MClaim 2     0 1 2 3 4 5 MClaim 3     0 1 2 3 4 5 MClaim 4     0 1 2 3 4 5 MThere are 25 questions of this kind. Participants should choose one '0' and one 'M' and one number for every of the claims, but numbers shouldn't be the same.Results are 2 independent factors, which  combined produce 4 types in profile. The theory is that those factors are independent.My questions are:Is there any literature which will explain this type of measurement?How to measure alphas for this questionnaire or conduct factor analysisIs there a way to see/count Pearson coefficients (or any other type of correlation)  for this survey and some other which are measured in traditional way with Likert scale?Edit: ie. Question1:I am calm and organized      0 1 2 3 4 5 M (My options are all of them, i choose 0)I like to go to Gardaland    X 1 2 3 4 5 M (My options are all except 0, i choose 5)Everyone is paranoic         X 1 2 3 4 X M (My options are 1, 2 3 4 and M, i choose 3)My mother was a good person  X 1 2 X 4 X M (My option is M because 0 and M are mandatory)after that there is question 2 to question 25 which follow the same format.
Psychometric scale with items in sets where responses imply a rank order of items
measurement;personality;test
Okay. I think I finally get what you are saying. You have constructed a form of partially ipsative or forced choice scale. In my words, I would say that you have 100 items in total. The 100 items are grouped into sets of 4 items, and you have 25 sets. Each item is rated on a 0 to 6 scale, and within each set participants need to give different responses for each item in the set. They must give a 0 and a 6. This is a variant on the idea of rank ordering the items in a set. However, you would also get a little bit of additional individual difference information because participants are not just ranking items.For further discussion, definitions, and a critique of ipsative tests see Johnson, Wood, and Blinkhorn (1988).ReferencesJohnson, C. E., Wood, R., & Blinkhorn, S. F. (1988). Spuriouser and spuriouser: The use of ipsative personality tests. Journal of Occupational Psychology, 61(2), 153-162.