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Goodness-of-Fit Tests for RAND3Стр 1 из 4Следующая ⇒
Goodness-of-Fit Tests for RAND3 Chi-Square Test
Kolmogorov-Smirnov Test
Modified Kolmogorov-Smirnov D
Cramer-Von Mises W^2
Anderson-Darling A^2
*Indicates that the P-Value has been compared to tables of critical values specially constructed for fitting the selected distribution. Other P-values are based on general tables and may be very conservative (except for the Chi-Square Test).
The StatAdvisor This pane shows the results of tests run to determine whether RAND3 can be adequately modeled by various distributions. The chi-square test divides the range of RAND3 into nonoverlapping intervals and compares the number of observations in each class to the number expected based on the fitted distribution. The Kolmogorov-Smirnov test computes the maximum distance between the cumulative distribution of RAND3 and the CDF of the fitted distribution. The other statistics compare the empirical distribution function to the fitted CDF in different ways.
P-values less than 0,05 would indicate that RAND3 does not come from the selected distribution with 95% confidence.
RAND4 - Равномерное распределение (lower limit = 0,0140383, upper limit = 2,99975) Goodness-of-Fit Tests for RAND4 Chi-Square Test
Kolmogorov-Smirnov Test
Modified Kolmogorov-Smirnov D
Cramer-Von Mises W^2
Anderson-Darling A^2
*Indicates that the P-Value has been compared to tables of critical values specially constructed for fitting the selected distribution. Other P-values are based on general tables and may be very conservative (except for the Chi-Square Test).
The StatAdvisor This pane shows the results of tests run to determine whether RAND4 can be adequately modeled by various distributions. The chi-square test divides the range of RAND4 into nonoverlapping intervals and compares the number of observations in each class to the number expected based on the fitted distribution. The Kolmogorov-Smirnov test computes the maximum distance between the cumulative distribution of RAND4 and the CDF of the fitted distribution. The other statistics compare the empirical distribution function to the fitted CDF in different ways.
P-values less than 0,05 would indicate that RAND4 does not come from the selected distribution with 95% confidence. RAND9 - Гамма (3 параметра) - shape = 219,992 scale = 5,70041, lower threshold = -39,3596 The StatAdvisor This pane shows the results of tests run to determine whether RAND9 can be adequately modeled by various distributions. The chi-square test divides the range of RAND9 into nonoverlapping intervals and compares the number of observations in each class to the number expected based on the fitted distribution. The Kolmogorov-Smirnov test computes the maximum distance between the cumulative distribution of RAND9 and the CDF of the fitted distribution. The other statistics compare the empirical distribution function to the fitted CDF in different ways.
P-values less than 0,05 would indicate that RAND9 does not come from the selected distribution with 95% confidence.
The StatAdvisor This pane shows the results of tests run to determine whether RAND15 can be adequately modeled by various distributions. The chi-square test divides the range of RAND15 into nonoverlapping intervals and compares the number of observations in each class to the number expected based on the fitted distribution. The Kolmogorov-Smirnov test computes the maximum distance between the cumulative distribution of RAND15 and the CDF of the fitted distribution. The other statistics compare the empirical distribution function to the fitted CDF in different ways.
P-values less than 0,05 would indicate that RAND15 does not come from the selected distribution with 95% confidence.
RAND18 - Лог-логистическое (median = 50,2727 shape = 0,0239156 lower threshold = -51,4883) The StatAdvisor This pane shows the results of tests run to determine whether RAND18 can be adequately modeled by various distributions. The chi-square test divides the range of RAND18 into nonoverlapping intervals and compares the number of observations in each class to the number expected based on the fitted distribution. The Kolmogorov-Smirnov test computes the maximum distance between the cumulative distribution of RAND18 and the CDF of the fitted distribution. The other statistics compare the empirical distribution function to the fitted CDF in different ways.
P-values less than 0,05 would indicate that RAND18 does not come from the selected distribution with 95% confidence. RAND27 - Равномерное распределение Goodness-of-Fit Tests for RAND27 Chi-Square Test
Kolmogorov-Smirnov Test
Modified Kolmogorov-Smirnov D
Cramer-Von Mises W^2
Anderson-Darling A^2
*Indicates that the P-Value has been compared to tables of critical values specially constructed for fitting the selected distribution. Other P-values are based on general tables and may be very conservative (except for the Chi-Square Test).
The StatAdvisor This pane shows the results of tests run to determine whether RAND27 can be adequately modeled by various distributions. The chi-square test divides the range of RAND27 into nonoverlapping intervals and compares the number of observations in each class to the number expected based on the fitted distribution. The Kolmogorov-Smirnov test computes the maximum distance between the cumulative distribution of RAND27 and the CDF of the fitted distribution. The other statistics compare the empirical distribution function to the fitted CDF in different ways.
P-values less than 0,05 would indicate that RAND27 does not come from the selected distribution with 95% confidence. RAND29 - Экспоненциальное (mean = 0,974828) The StatAdvisor This pane shows the results of tests run to determine whether RAND29 can be adequately modeled by various distributions. The chi-square test divides the range of RAND29 into nonoverlapping intervals and compares the number of observations in each class to the number expected based on the fitted distribution. The Kolmogorov-Smirnov test computes the maximum distance between the cumulative distribution of RAND29 and the CDF of the fitted distribution. The other statistics compare the empirical distribution function to the fitted CDF in different ways.
P-values less than 0,05 would indicate that RAND29 does not come from the selected distribution with 95% confidence. RAND35 Бета (shape 1 = 0,487408 shape 2 = 0,602051) The StatAdvisor This pane shows the results of tests run to determine whether RAND35 can be adequately modeled by various distributions. The chi-square test divides the range of RAND35 into nonoverlapping intervals and compares the number of observations in each class to the number expected based on the fitted distribution. The Kolmogorov-Smirnov test computes the maximum distance between the cumulative distribution of RAND35 and the CDF of the fitted distribution. The other statistics compare the empirical distribution function to the fitted CDF in different ways.
P-values less than 0,05 would indicate that RAND35 does not come from the selected distribution with 95% confidence.
В результате было получено два распределения с равномерным распределением: RAND4 и RAND27
Paired Samples - RAND4 & RAND27 Data variable: RAND4-RAND27 200 values ranging from -0,752163 to 4,70767 95,0% confidence interval for mean: 2,00378 +/- 0,169834 [1,83395; 2,17361] 95,0% confidence interval for standard deviation: [1,10916; 1,35067] The StatAdvisor This pane displays the results of tests concerning the population from which the sample of RAND4-RAND27 comes. The t-test tests the null hypothesis that the mean RAND4-RAND27 equals 0,0 versus the alternative hypothesis that the mean RAND4-RAND27 is not equal to 0,0. Since the P-value for this test is less than 0,05, we can reject the null hypothesis at the 95,0% confidence level. The sign test tests the null hypothesis that the median RAND4-RAND27 equals 0,0 versus the alternative hypothesis that the median RAND4-RAND27 is not equal to 0,0. It is based on counting the number of values above and below the hypothesized median. Since the P-value for this test is less than 0,05, we can reject the null hypothesis at the 95,0% confidence level. The signed rank test tests the null hypothesis that the median RAND4-RAND27 equals 0,0 versus the alternative hypothesis that the median RAND4-RAND27 is not equal to 0,0. It is based on comparing the average ranks of values above and below the hypothesized median. Since the P-value for this test is less than 0,05, we can reject the null hypothesis at the 95,0% confidence level. The sign and signed rank tests are less sensitive to the presence of outliers but are somewhat less powerful than the t-test if the data all come from a single normal distribution.
The chi-square test tests the null hypothesis that the standard deviation of RAND4-RAND27 equals 1,0 versus the alternative hypothesis that the standard deviation of RAND4-RAND27 is not equal to 1,0. Since the P-value for this test is less than 0,05, we can reject the null hypothesis at the 95,0% confidence level.
Goodness-of-Fit Tests for RAND3 Chi-Square Test
Kolmogorov-Smirnov Test
Modified Kolmogorov-Smirnov D
Cramer-Von Mises W^2
Anderson-Darling A^2
*Indicates that the P-Value has been compared to tables of critical values specially constructed for fitting the selected distribution. Other P-values are based on general tables and may be very conservative (except for the Chi-Square Test).
The StatAdvisor This pane shows the results of tests run to determine whether RAND3 can be adequately modeled by various distributions. The chi-square test divides the range of RAND3 into nonoverlapping intervals and compares the number of observations in each class to the number expected based on the fitted distribution. The Kolmogorov-Smirnov test computes the maximum distance between the cumulative distribution of RAND3 and the CDF of the fitted distribution. The other statistics compare the empirical distribution function to the fitted CDF in different ways.
P-values less than 0,05 would indicate that RAND3 does not come from the selected distribution with 95% confidence.
RAND4 - Равномерное распределение (lower limit = 0,0140383, upper limit = 2,99975)
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