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Results of the Hsiao procedure for the homogeneity test on panel data

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Hi Statalists,

I work on a panel of 5 individuals and 38 years. I performed the Hsiao test to test the homogeneity of the data. Unlike most cases, I obtained p-values> 0.1 for the three tests. I ask you to help me choose the specification of my model and which estimation technique I should use and should I do the other tests like the Haussmann test and which post-estimation test I will have to do after estimating the model.
Thank you in advance for your assistance.
P-values of tests:

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