Say I have n sets of data where each set of data has a binomial distribution. The n sets of data are then combined into one set. If I take the combined set of data, how would I go about detecting that this set is made up from n individual sets ?
I have only a limited background in statistics, so here is an example to clarify the question: I collect the amount of energy used by an appliance at 3pm each day for a number of months Generally the amount of energy used follows these rules: - On Monday to Friday, the appliance uses 3000 kWh (mean value) - On Saturday, the appliance uses 200 kWh (mean value) - On Sunday, the appliance uses 50 kWh (mean value)
I want to be able to take all the 3pm readings every day for a year and then be able to detect that the readings can be broken into the 3 sets as described above. After I deduce that there are 3 sets of data, I plan to calculate the mean value with std dev etc. for each individual set.