Summary
The problem considered in this paper is that of developing a mode of inference about the population mean from a sample (from a normal distribution) which are correlated, using structural methods of statistical inference. The result for the general correlation model has been applied to the intraclass correlation model and the first order auto-regressive model.
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References
Ali, M.M., [1973], Distribution of "Student’s Ratio for Correlated Observations",Statistische Hefte, Vol. 14, pp. 350–357.
Fraser, D.A.S., [1968],The Structure of Inference, Wiley, New York.
Haq, M. Safiul [1970], "Structural Analysis for the first order auto-regressive stochastic models,"Ann. Math. Stat., Vol. 41, pp. 970–978.
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The research was partially supported by the National Research Council of Canada.
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Haq, M.S. On inference about the mean in the presence of correlation. Statistische Hefte 15, 329–334 (1974). https://doi.org/10.1007/BF02922914
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DOI: https://doi.org/10.1007/BF02922914