1. Abdel-Aty, S.H.: Approximate formulae for the percentage points and the probability integral of the non-central χ
2 distribution. Biometrika 41, 538–540 (1954)
2. Chen, J., Glaz, J., Sison, C.P.: Testing homogeneity of the multinomial proportions. Commun. Stat. Theory Methods 45, 1747–1777 (2016)
3. Fisher, R.A.: The general sampling distribution of the multiple correlation coefficient. Proc. R. Soc. A 121, 654–673 (1928)
4. Fix, E.: Tables of non-central chi-square. Univ. Calif. Publ. Stat. 1, 15–19 (1949)
5. Hosmane, B.S.: Smoothing of likelihood ratio statistic for equiprobable multinomial goodness-of-fit. Ann. Inst. Stat. Math. 42, 133–147 (1990)