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Консультация № 201066
03.06.2021, 09:37
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:Помогите с заданием критерий согласия Персона
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Обсуждение
06.06.2021, 08:28
общий
это ответ
Здравствуйте, Icsid!
Определим значения середин интервалов:
Вычислим выборочную среднюю:
При этом
Вычислим выборочное среднее квадратическое отклонение:
Вычислим теоретические частоты по формуле
где 
-- объём выборки (сумма всех частот) -- рассчитан выше; 
-- шаг (разность между соседними вариантами) -- в нашем случае 
Тогда
В результате расчёта получим
Сравнивая теоретические и эмпирические частоты, получим
Значит, наблюдаемое значение критерия Пирсона равно
По таблице критических точек распределения
по уровню значимости 
и числу степеней свободы, равному 
определяем критическую точку правосторонней критической области 
Поскольку 
постольку нет оснований отвергать гипотезу о нормальном распределении случайной величины 
Литература
Гмурман В. Е. Руководство к решению задач по теории вероятностей и математической статистике. -- М.: Высшая школа, 2004.
Определим значения середин интервалов:
Вычислим выборочную среднюю:
При этом
Вычислим выборочное среднее квадратическое отклонение:
Вычислим теоретические частоты по формуле
где -- объём выборки (сумма всех частот) -- рассчитан выше; -- шаг (разность между соседними вариантами) -- в нашем случае ТогдаСравнивая теоретические и эмпирические частоты, получим
Значит, наблюдаемое значение критерия Пирсона равно
По таблице критических точек распределения
по уровню значимости и числу степеней свободы, равному определяем критическую точку правосторонней критической области Поскольку постольку нет оснований отвергать гипотезу о нормальном распределении случайной величины Литература
Гмурман В. Е. Руководство к решению задач по теории вероятностей и математической статистике. -- М.: Высшая школа, 2004.
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Об авторе:
Facta loquuntur.
Facta loquuntur.
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