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Smooth Tests of Goodness of Fit
Technometrics, 1991AbstractSmooth tests of goodness of fit assess the fit of data to a given probability density function within a class of alternatives that differs ‘smoothly’ from the null model. These alternatives are characterized by their order: the greater the order the richer the class of alternatives. The order may be a specified constant, but data‐driven methods
Rayner, J. C. W., Thas, O., Best, D. J.
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An alternative to the goodness of fit
Acta Crystallographica Section A Foundations and Advances, 2016An alternative measure to the goodness of fit (GoF) is developed and applied to experimental data. The alternative goodness of fit squared (aGoFs) demonstrates that the GoF regularly fails to provide evidence for the presence of systematic errors, because certain requirements are not met. These requirements are briefly discussed.
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Simulation, Estimation, and Goodness of Fit
2012Exploring and Relating Model to Data in Practice Previous chapters concentrated on the formulation and specification of exponential random graph models (ERGMs) for different types of relational data. In Chapter 6, we saw that effects represented by configurations and corresponding parameters define a distribution of graphs where the probability of ...
Koskinen, J., Snijders, T.A.B.
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Biometrika, 1975
SUMMARY Fitting a parametric model or estimating a parametric density function plays an important role in a number of statistical applications. Two widely-used methods, one replacing the unknown parameter by an efficient estimate and so termed estimative and the other using a mixture of the possible density functions and commonly termed predictive, are
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SUMMARY Fitting a parametric model or estimating a parametric density function plays an important role in a number of statistical applications. Two widely-used methods, one replacing the unknown parameter by an efficient estimate and so termed estimative and the other using a mixture of the possible density functions and commonly termed predictive, are
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2001
The airport limousine example in Chapter 2 illustrates how important the knowledge of random distribution of data and the shape of the histogram can be to drawing statistically sound conclusions. Although we didn’t state it in the example, the assumption that the data followed a known statistical distribution was inherent in the calculations of the ...
Robert P. Trueblood, John N. Lovett
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The airport limousine example in Chapter 2 illustrates how important the knowledge of random distribution of data and the shape of the histogram can be to drawing statistically sound conclusions. Although we didn’t state it in the example, the assumption that the data followed a known statistical distribution was inherent in the calculations of the ...
Robert P. Trueblood, John N. Lovett
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1987
As before, let ξ1, ..., ξn be univariate independent random variables with the same continuous d.f. F Recall $${\text{D}}_{\text{n}} = \mathop {\sup }\limits_{\text{t}} |{\text{F}}_{\text{n}} \left( {\text{t}} \right) - {\text{F}}\left( {\text{t}} \right)| $$ , the Kolmogorov goodness of fit statistic.
Peter Gaenssler, Winfried Stute
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As before, let ξ1, ..., ξn be univariate independent random variables with the same continuous d.f. F Recall $${\text{D}}_{\text{n}} = \mathop {\sup }\limits_{\text{t}} |{\text{F}}_{\text{n}} \left( {\text{t}} \right) - {\text{F}}\left( {\text{t}} \right)| $$ , the Kolmogorov goodness of fit statistic.
Peter Gaenssler, Winfried Stute
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1999
Goodness-of-fit tests for continuos distributions are generally handled by the Kolmogorov-Smirnov test which in its classical form requires that the distribution is completely specified. In practice this is seldom the case and one then resorts to estimating parameters from the data and then examining Kolmogorov-Smirnov “type” tests. The standard tables
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Goodness-of-fit tests for continuos distributions are generally handled by the Kolmogorov-Smirnov test which in its classical form requires that the distribution is completely specified. In practice this is seldom the case and one then resorts to estimating parameters from the data and then examining Kolmogorov-Smirnov “type” tests. The standard tables
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Fitting In and Doing Good, or Doing Good to Fit In?
Academy of Management Proceedings, 2023Wouter Vleugels, Huw Flatau Harrison
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Journal of the American Statistical Association, 1967
Abstract This Paper defines a class of distribution free measures of goodness of fit; their exact distribution for small samples can be calculated by means of a computer. Two of them have the same asymptotic distribution as the Kolmogorov-Smirnov statistic.
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Abstract This Paper defines a class of distribution free measures of goodness of fit; their exact distribution for small samples can be calculated by means of a computer. Two of them have the same asymptotic distribution as the Kolmogorov-Smirnov statistic.
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Length tests for goodnesss-of-fit
Biometrika, 1991Consider an i.i.d. sample X 1,..., X n with distribution function F, which throughout is assumed to be twice continuously differentiable with support [0,1] and strictly positive derivative on [0,1]. Denote by $$0={X_{0:n}}\leqslant {X_{1:n}}\leqslant\cdots\leqslant{X_{n:n}}\leqslant{X_{n+1:n}}=1$$ (1) the order statistics, and the spacings by
Reschenhofer, Erhard, Bomze, Immanuel
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