Pirson’s criterion

After drawing up the histogram, the hypothesis on distribution normality of the obtained variation sequence is checked. The check is done by means of the criterion for estimating the difference between theoretical and empirical distributions. The most frequently used is Pirson s, criterion, determined by the formula ... 

Pirson s criterion has f=e-k-l degrees of freedom, where for a normal distribution h=2. The pg probability is calculated by formula ... 

In a chemical reactor 200 temperature values have been measured. The largest and smallest deviations from the average temperature were Xrn lx=30 and Xrnirp-20. The values have been divided into 10 ranges. The accuracy of the measured temperatures was 1 [ °C], By using Pirson s criterion with a=0.05 significance level, check the law on data distribution. 

From Table A of random numbers, 150 double digit numbers have been chosen. The data are in the next table. Check the normality of data distribution with 95% confidence level by using Pirson s criterion. 

Data about average air temperatures for 320 days are given in the table. Check the normality of the temperature values by using Pirson s criterion with 5% significance level. 

The values of the normed Laplace s-function are in Table J (appendix). When determining the given values zg=zmin is replaced by -< >, and zfe-zrn lx by +°°. When the calculated value of the Pirson criterion is below the tabular value the null hypothesis on normal distribution of data is accepted ... 

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See also in sourсe #XX -- [ ]

See also in sourсe #XX -- [ ]

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