This paper deals with one-way classification analysis when the response variable follows the one-parameter Fréchet distribution and the factor effects are random. The stochastic properties of the response variable are studied in detail. Maximum likelihood estimations of the model parameters are also given in explicit expressions. Under the square error loss (SEL) function, the best predictions for the random-effects are derived. Three procedures for testing the hypothesis of population homogeneity are proposed and misspecification problem is investigated in a special case. Several illustrative examples are also given to assess the performances of the proposed model. Findings of this paper may be used in engineering, survival and, longitudinal studies.

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