simulation arena application, Exercises of Mathematical Modeling and Simulation

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IE 316 SIMULATION

Spring 2020

HOMEWORK-

161122008-İSA CANSIN

I chose Normal and Gama distribution. When I applied the fit all, the result

showed the Beta distribution.As you know if square error value small and also

p-value large, this distribution is good than other.Beta distribution was the best

in terms of p-value and square error of all the distributions applied. Square

error and p-value data of 3 distributions are shown in the table below and

values can be compared to this table

P-VALUE SQUARE ERROR

BETA 0.228 0.

NORMAL 0.00806 0.

GAMA <0.005(POOR FIT) 0.

Normal

Distribution Summary Distribution: Normal Expression: NORM(5.8, 2.92) Square Error: 0. Chi Square Test Number of intervals = 7 Degrees of freedom = 4 Test Statistic = 13. Corresponding p-value = 0.

BETA Distribution Summary Distribution: Beta Expression: 0.5 + 10 * BETA(0.989, 0.877) Square Error: 0. Chi Square Test Number of intervals = 7 Degrees of freedom = 4 Test Statistic = 5. Corresponding p-value = 0. Fit All Sumarry Function Sq Error Beta 0. Uniform 0. Normal 0. Triangular 0. Weibull 0. Erlang 0. Gamma 0. Exponential 0. Poisson 0. Lognormal 0.

2 - I generated new data file with Beta distribution which has α 1 =1 and α 2 =7 ,

min=1 and max=25 values. As you know if square error value small and also p-

value large, this distribution is good than other .Beta distribution was the best

in terms of p-value and square error of all the distributions applied. Square

error and p-value data of 3 distributions are shown in the table below and

values can be compared to this table.

P-VALUE SQUARE ERROR

BETA 0.0395 0.

UNIFORM <0.005(POOR FIT) 0.

TRIANGULAR <0.005(POOR FIT) 0.

Distribution: Beta Expression: 1 + 11 * BETA(0.889, 3.44) Square Error: 0. Chi Square Test Number of intervals = 4 Degrees of freedom = 1 Test Statistic = 4. Corresponding p-value = 0. Kolmogorov-Smirnov Test Test Statistic = 0. Corresponding p-value > 0.

Distribution: Triangular

 - Square Error: 0. Expression: TRIA(1, 1.79, 12) - Number of intervals = Chi Square Test - Degrees of freedom = - Test Statistic = 31. 

• Corresponding p-value < 0. - Test Statistic = 0. Kolmogorov-Smirnov Test
  • Corresponding p-value < 0.
• Weibull 0. Function Sq Error
• Gamma 0.
• Beta 0.
• Erlang 0.
• Exponential 0.
• Normal 0.
• Lognormal 0.
• Triangular 0.
• Uniform 0.