Normally approximate 95% confidence intervals using the empirical

standard error.

In terms of the [gamma].sub.00]

standard error (values in parentheses in Table 3), the rank based approaches uniformly had the lowest values across all levels of [C.sub.1] and [N.sub.2], with JR_CS yielding somewhat lower values than JR_SE.

9, mean of the data is 4.14,

standard error is 0.108 and standard deviation is 1.12.

Age 14 15 16 n/% 33 / 16.5 31 / 15.5 30 / 15 Mean 152.4 157.2 158.0 CI 95% for Lower limit 150.3 154.8 155.6 the mean Upper limit 154.6 159.6 160.5 Variance 36.7 41.8 43.4 Standard 6.1 6.5 6.6 deviation Minimum 139 143 145 Maximum 165 173 181 Interquartile 6 9 8 range

Standard error 1.1 1.2 1.2 of the mean Coefficient 4 4.1 4.2 of variation.

In Table 2, the regression coefficients and

standard errors obtained from GEE and mixed model analysis applied to MAR, MCAR and complete data sets for the continuous result variable (linoleic acid) are almost same.

Given that (a) the formulation of the asymptotic

standard error of y in equation (6) is realistic, relevant, and indeed correct; (b) the practical significance of including B can only be conclusively evaluated in the context of each particular empirical application after it has been estimated; and (c) the calculation of B imposes only minimal marginal computational burden, there remains no reasonable justification for excluding it from equation (6) as Dowd, Greene, and Norton (2014) recommend in their equation (18).

Table 3 shows the resulting estimates of [[beta].sub.1] for the treatment condition in the linear model (3) and the corresponding asymptotic

standard errors and p-values using the different models.

As the price of natural gas is calculated as a quotient of revenue to volume, the

standard error of natural gas prices is derived using the variance properties of a quotient.

The monthly

standard error was most recently estimated by the BLS to be 0.03 percent for the 2011 CPI, based upon 83,300 price quotes.

In the pooling phase, the patient disability estimates and

standard errors were combined into a single set of results for each of the three data sets (Figure 1).

The estimated value of [beta] is -0.034 (and, with a

standard error of 0.008, it is statistically significant at the 1% level) meaning that one yellow card is deterred for every 29.4 accumulated yellow cards.

The instrument that is omitted from the IV combination is utilized as an explanatory variable and its coefficient and

standard error is reported.