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Table 2 Summary of various abbreviations

From: Confidence intervals construction for difference of two means with incomplete correlated data

Abbreviation

Definition

T 1

CI based on T 1 statistic

T 2

CI based on T 2 statistic

T 3

CI based on T 3 statistic

T 4

CI based on T 4 statistic

T 5

CI based on T 5 statistic

T g

CI based on GEE method

W s

CI based on Wilson score method

W a

CI based on Agresti-coull method

B 1

Simple Bootstrap CI based on

 

\(\hat \delta =a\overline {x}_{1}^{(n)}+\left (1-a\right)\overline {x}_{1}^{(n_{1})}-b\overline {x}_{2}^{(n)}-(1-b)\overline {x}_{2}^{(n_{2})}\)

B 2

Simple Bootstrap CI based on \(\hat {\delta }=\bar {x}_{1}^{(n+n_{1})}-\bar {x}_{2}^{(n+n_{2})}\)

B 3

Percentile Bootstrap CI based on

 

\(\hat \delta =a\overline {x}_{1}^{(n)}+(1-a)\overline {x}_{1}^{(n_{1})}-b\overline {x}_{2}^{(n)}-(1-b)\overline {x}_{2}^{(n_{2})}\)

B 4

Percentile Bootstrap CI based on \(\hat {\delta }=\bar {x}_{1}^{(n+n_{1})}-\bar {x}_{2}^{(n+n_{2})}\)

ECPs

Empirical coverage probabilities, is defined by Eq. (3)

ECW

Empirical confidence widths, is defined by Eq. (3)

RNCP

The ratio of the mesial non-coverage probabilities to the

 

non-coverage probabilities, is defined by Eqs. (4) and (5)