• Title/Summary/Keyword: smooth goodness of fit

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Data-Driven Smooth Goodness of Fit Test by Nonparametric Function Estimation

  • Kim, Jongtae
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.811-816
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    • 2000
  • The purpose of this paper is to study of data-driven smoothing goodness of it test, when the hypothesis is complete. The smoothing goodness of fit test statistic by nonparametric function estimation techniques is proposed in this paper. The results of simulation studies for he powers of show that the proposed test statistic compared well to other.

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A Smooth Goodness-of-fit Test Using Selected Sample Quantiles

  • Umbach, Dale;Masoom Ali, M.
    • Journal of the Korean Statistical Society
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    • v.25 no.3
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    • pp.347-358
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    • 1996
  • A new test for goodness-of-fit is presented. It is a modification of a test of LaRiccia (1991). These tests are applicable to continuous lo-cation/scale models. The new test statistic is based on a few selected order statistics taken from the sample, while the LaRiccia test is based directly on the full sample. Each test embeds the hypothesized model in a larger linear model and proceeds to test the goodness-of-fit hy-pothesis by testing the coefficients of this linear model appropriately. The general theory is presented. The tests are compared via computer simulation to a related test of Ali and Umbach (1989) for distributions that could be used as lifetime models. An important aspect of all these tests is that only standard $X_2$ tables are used. Selection of the spacings of the order statistics is discussed.

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Goodness-of Fit Tests in Regression via Nonparametric Function Techniques

  • Kim, Jong-Tae;Moon, Gyoung-Ae
    • Journal of the Korean Data and Information Science Society
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    • v.5 no.2
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    • pp.95-106
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    • 1994
  • A proposed test statistic is obtained by multiplying constant weights by the Neumann smooth type statistic discussed by Eubank and Hart(1993) in order to observe the effect of weight. It has very good results of power studies. Another advantage of this test is that it simultaneously provides an important diagnostic tools that can be used in many cases to determine how the model should be adjusted.

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