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The notable unsolved problems in statistics are generally of a different flavor; according to John Tukey, [1] "difficulties in identifying problems have delayed statistics far more than difficulties in solving problems." A list of "one or two open problems" (in fact 22 of them) was given by David Cox. [2]
Partition into cliques is the same problem as coloring the complement of the given graph. A related problem is to find a partition that is optimal terms of the number of edges between parts. [3]: GT11, GT12, GT13, GT14, GT15, GT16, ND14 Grundy number of a directed graph. [3]: GT56 Hamiltonian completion [3]: GT34
Statistics rarely give a simple Yes/No type answer to the question under analysis. Interpretation often comes down to the level of statistical significance applied to the numbers and often refers to the probability of a value accurately rejecting the null hypothesis (sometimes referred to as the p-value ).
A normal quantile plot for a simulated set of test statistics that have been standardized to be Z-scores under the null hypothesis. The departure of the upper tail of the distribution from the expected trend along the diagonal is due to the presence of substantially more large test statistic values than would be expected if all null hypotheses were true.
The zeta distribution has uses in applied statistics and statistical mechanics, and perhaps may be of interest to number theorists. It is the Zipf distribution for an infinite number of elements. The Hardy distribution, which describes the probabilities of the hole scores for a given golf player.
This result is often encountered in social-science and medical-science statistics, [1] [2] [3] and is particularly problematic when frequency data are unduly given causal interpretations. [4] The paradox can be resolved when confounding variables and causal relations are appropriately addressed in the statistical modeling [ 4 ] [ 5 ] (e.g ...
Because of these problems, methodologists routinely advise researchers to design studies to minimize the occurrence of missing values. [2] Graphical models can be used to describe the missing data mechanism in detail. [3] [4] The graph shows the probability distributions of the estimations of the expected intensity of depression in the population.
List of unsolved problems in statistics; Probability. Topic outline of probability; List of probability topics. Catalog of articles in probability theory;
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