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Table 1 This table presents the variances of unadjusted estimates calculated using re-sampling with reduced sample size, for the numerical example

From: Three new methodologies for calculating the effective sample size when performing population adjustment

Sample size

500

490

480

470

460

450

440

430

420

410

Variance

0.0769

0.0797

0.0812

0.0828

0.0842

0.0850

0.0864

0.0897

0.0910

0.0899

Sample size

400

390

380

370

360

350

340

330

320

310

Variance

0.0916

0.0950

0.0982

0.1010

0.1021

0.1010

0.1031

0.1065

0.1078

0.1115

Sample size

300

290

280

270

260

250

240

230

  

Variance

0.1188

0.1230

0.1259

0.1311

0.1410

0.1476

0.1572

0.1652

  
  1. The sample size is reduced, in steps of 10, from the initial sample size of 500. The initial value of variance with the entire sample size of 500 is 0.0769, whereas \(Var(\hat{\theta }_u)=0.0653\) is provided by the unadjusted analysis, this difference is caused by using bootstrapping to calculate the variance