I have data from a 1 group repeated measures (Time 1 and Time 2) design to evaluate the impact of a psychological intervention for a group of participants. It is the same group of participants pre and post intervention but they are anonymous therefore, I cannot pair the individual data points for Time 1 and Time 2. So, I don't think I can use the paired-sample t-test because I can't calculate the differences for each individual.
I also don't think I can use the independent samples t-test as the sample is the same violating a key assumption.
Is my reasoning on t-tests correct and is there an alternative statistical method I can use?