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. 2021 Apr 19;82(1):76–106. doi: 10.1177/00131644211003261

Table 5.

Minimum Required Sample Sizes for Structural Equation Models with Complete Mediation.

Method Effect size Standardized factor loading Model 1 Model 2 Model 3 Model 4
Number of indicators Number of indicators Number of indicators Number of indicators
2 3 4 2 3 4 2 3 4 2 3 4
Delta Small 0.4 >10,000 5,010 3,450 >10,000 7,580 5,340 >10,000 >10,000 7,450 >10,000 8,930 6,000
0.5 5,060 2,670 1,990 6,850 3,890 3,070 9,510 5,830 4,320 7,480 4,580 3,440
0.6 2,840 1,710 1,350 3,820 2,450 2,090 5,310 3,730 2,930 4,230 2,840 2,280
0.7 1,770 1,200 1,060 2,480 1,780 1,600 3,460 2,630 2,220 2,670 2,000 1,740
Medium 0.4 1,650 780 530 2,100 1,090 790 3,950 2,050 1,400 2,390 1,230 870
0.5 780 410 320 940 570 440 1,730 990 720 1,090 630 480
0.6 430 250 210 550 350 290 910 580 440 600 400 310
0.7 270 180 160 340 250 230 540 400 330 370 270 230
Large 0.4 930 430 290 1,240 600 400 3,930 1,800 1,130 1,190 580 390
0.5 420 220 160 530 290 210 1,530 760 520 510 280 200
0.6 220 130 110 270 170 130 700 380 290 290 170 130
0.7 160 90 80 160 110 100 370 230 180 160 110 90
Bootstrap Small 0.4 >10,000 4,140 2,830 >10,000 6,430 4,450 >10,000 8,580 5,840 >10,000 8,020 5,320
0.5 4,960 2,240 1,650 6,300 3,360 2,640 8,150 4,480 3,280 6,730 4,000 2,940
0.6 3,070 1,390 1,120 3,630 2,120 1,770 4,660 2,810 2,230 3,800 2,470 2,000
0.7 1,880 960 850 2,400 1,520 1,350 3,040 2,010 1,680 2,370 1,730 1,480
Medium 0.4 1,300 700 510 1,870 1,020 720 3,450 1,780 1,200 2,240 1,190 830
0.5 730 360 280 880 530 410 1,500 850 600 1,030 600 450
0.6 450 230 190 520 320 280 800 500 390 580 370 280
0.7 260 160 140 330 220 200 490 330 270 360 240 200
Large 0.4 820 390 270 1,220 570 400 4,190 1,910 1,140 1,190 590 400
0.5 330 190 150 460 270 210 1,620 760 510 480 320 210
0.6 230 120 100 250 160 130 710 380 280 250 170 130
0.7 130 90 70 150 110 100 360 220 170 150 110 90

Note. Effect size: The effect size of the indirect effect(s).