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Table 3 Paired t-tests under the hypothesis of equal variances. \( \hat{\Delta } \) is the difference between the mean estimate derived with SRS, MAT, SDR, RIP, or DOR and the design based variance (DES). \( \left|\hat{t}\right| \) is the absolute value of the t-statistics (effect size), and \( P\left(\left|\hat{t}\right|\ |\Delta =0\right) \) is the probability of a greater \( \left|\hat{t}\right| \) under the null hypothesis of a zero difference

From: Comparison of estimators of variance for forest inventories with systematic sampling - results from artificial populations

Estimator contrast

n

\( \hat{\Delta }\times {10}^4 \)

\( \left|\hat{t}\right| \)

\( P\left(\left|\hat{t}\right||\Delta =0\right) \)

SRS-DES

400

0.8

1.31

0.20

576

0.2

0.37

0.72

900

0.0

0.16

0.87

1600

0.0

0.11

0.91

MAT-DES

400

0.2

0.30

0.77

576

0.3

0.52

0.61

900

0.3

0.60

0.55

1600

0.1

0.40

0.69

SDR-DES

400

0.3

0.54

0.60

576

0.2

0.43

0.67

900

0.2

0.54

0.59

1600

0.1

0.40

0.69

RIP-DES

400

0.5

0.73

0.47

576

0.2

0.34

0.74

900

0.3

0.68

0.50

1600

0.2

0.80

0.43

DOR-DES

400

−0.5

0.84

0.41

576

−0.7

1.39

0.17

900

−0.5

1.22

0.23

1600

−0.2

0.73

0.47