Estimation of Log-Linear-Binomial Distribution with Applications

Table 2

Power of the sign test under binomial and log-linear binomial distribution for one-tail test with 𝑛=14, 𝜔=1.1, and 𝛼=0.05 based on normal approximation.

	𝜏1
	0.5	0.60	0.70	0.80	0.90	0.95
	Binomial distribution
𝑍	1.64	0.89	0.15	−0.60	−1.35	−1.72
Power	𝟎.𝟎𝟓	𝟎.𝟏𝟖	𝟎.𝟒𝟒	𝟎.𝟕𝟑	𝟎.𝟗𝟏	𝟎.𝟗𝟔
	Log-linear binomial distribution
𝑍	1.64	0.68	−0.27	−1.23	−2.18	−2.66
Power	𝟎.𝟎𝟓	𝟎.𝟐𝟓	𝟎.𝟔𝟏	𝟎.𝟖𝟗	𝟎.𝟗𝟖	𝟎.𝟗𝟗𝟔