I am supposed to create a fake data set with 4 predictors that yields two strong significant relationships, 1 weak significant relationship, 1 non-significant relationship, and a significant interaction.
I have some materials but I am at a total loss at how to do this.
I have created an excel book with the four variables and generated random numbers using the RANDBETWEEN function and have imported that data to JASP but from there it doesn't matter how many times I run it, I can't get the results I need.
Does anyone have any suggestions?
If this is for an assignment, can you send us your instructor's name so that we can get more details.
A random number generator would likely not help you here because random data will only show spurious (chance) correlations. Look into Monte Carlo simulations. With a simulation, you can set up a "fake" population regression model in which the effect sizes can be set the way you want them to be. Then, you can simulate data from the known population structure with the desired effect sizes.
Christian Geiser , I am confused by your answer. Do you mean just using an RNG on its own? Maybe it is just me that is confused. I am not clear what the questioner wants (e.g., are the effect sizes conditional) so waiting for clarification.
But, randomness is used to make lots of data in simulations. Take an RNG like rnorm in R
l1
Presumably, strong significant relationship means the p-value is well below your chosen alpha level (likely 0.05), whereas weak significant relationship means it is just below alpha. Is that right?
Did your instructor give any guidance (or restrictions) on what the sample size is supposed to be for your model? I ask because of the relationship between n and p-values: The larger n gets, the smaller p becomes (all else being equal).
PS- Daniel Wright, Catherine Strutz could have stated explicitly that this question relates to a course assignment (assuming it does--and I think it does, judging by the wording), but I do not think she was deliberately attempting to conceal that fact. YMMV.
Correct Bruce Weaver , I may have over-interpreted the "I am supposed to" part, but I agree the questioner could have been clearer as to why they were doing it.
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