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The Shapiro–Wilk test tests the null hypothesis that a sample x1, ..., xn came from a normally distributed population. The test statistic is. where. with parentheses enclosing the subscript index i is the i th order statistic, i.e., the i th-smallest number in the sample (not to be confused with ). is the sample mean.
Eye movement desensitization and reprocessing therapy. Francine Shapiro (February 18, 1948 – June 16, 2019) was an American psychologist and educator who originated and developed eye movement desensitization and reprocessing (EMDR), a form of psychotherapy for resolving the symptoms of traumatic and other disturbing life experiences. [1] [2]
Shapiro was born in New Jersey. Spending his early years in New York City and New Jersey, Shapiro started his career in the early 1980s as a comedian at Catch A Rising Star on Broadway. [2] Besides performing regularly on stage, [2] throughout the 1990s he acted and starred in numerous films by Louis CK, including Tomorrow Night. [3]
Statement of the inequality. Suppose is a natural number and are positive numbers and: Then the Shapiro inequality states that. where and . For greater values of the inequality does not hold, and the strict lower bound is with . The initial proofs of the inequality in the pivotal cases [2] and [3] rely on numerical computations.
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Jack Shapiro. Jack Emanuel "Soupy" Shapiro (March 22, 1907 – February 5, 2001) was an American gridiron football player who played in one game with the Staten Island Stapletons of the National Football League (NFL) in 1929. Shapiro is most famous for being the shortest player in NFL history at about 5 ft 1 in (1.55 m).
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