The main aim of this article is to compare SmartPLS 4.1.2.1 and SEMGate on PLS-SEM Estimation and Bootstrap digits under matched data, model, and algorithm settings.
Both tools were run on Satisfaction_Data.sav (n = 300) with the same path model, Path weighting, Fixed seed, B = 5000, BCa confidence intervals, α = 0.05, and two-tailed tests. The sections below present the path diagram, the matched settings, the aligned cell comparison, the Match scoring rules, and a short guide to reproduce the check.
01
Watch the run
Before we dig into screenshots and tables, start with the camera version of the same walkthrough. The video is orientation, not proof: you will see the path model, loadings, reliability, and bootstrap under matched settings, so the later figures feel familiar instead of abstract.
For the broader validation approach behind SEMGate, see the About page.
02
One path model, drawn twice
A path model is the structural story you ask the algorithm to estimate: which constructs connect to which others, which indicators measure each construct, and which arrows carry the hypotheses you care about. If that story differs between tools, later digit gaps are unsurprising. They may simply mean you estimated two different models.
So we began with one diagram and rebuilt it carefully in both places. The constructs, indicators, and paths below are the same on the SmartPLS canvas and in SEMGate Studio. Only after that foundation looked identical did we move on to estimation settings.
03
Matched estimation and bootstrap
Even with the same diagram, bootstrap results wander if the algorithm knobs disagree. Path weighting steers how inner-model weights update. Fixed seed makes the 5,000 bootstrap draws repeatable instead of a fresh random stream every run. BCa is the bias-corrected and accelerated confidence-interval method. α = 0.05 and two-tailed set the significance rule both tools use when they report p and intervals.
We locked those choices on both sides: Path weighting, Fixed seed, B = 5000, BCa, α = 0.05, two-tailed. The figure shows how each product labels the same decisions. Use Estimate and Bootstrap to flip between screens. The table beneath restates the match in plain columns.
| Setting | SEMGate | SmartPLS 4.1.2.1 |
|---|---|---|
| Data file | Satisfaction_Data.sav | Satisfaction_Data |
| Sample size (n) | 300 | 300 |
| Inner weighting scheme | path | Path |
| Bootstrap subsamples (B) | 5000 | 5000 |
| Seed mode | fixed | Fixed seed |
| Confidence interval method | BCa | Bias-corrected and accelerated (BCa) bootstrap |
| Significance / tails | α = 0.05 (two-tailed) | 0.05, Two-tailed |
04
What "aligned cells" means
Exports do not arrive ready for a fair comparison. Sheet names differ, some metrics appear under different labels, and a few rows exist on one side only. Alignment is the careful step of pairing cells that truly measure the same quantity: the same path, the same loading, the same bootstrap mean, standard deviation, |t|, p, or confidence bound.
Only those paired cells enter the scorecard. Rows we could not map honestly stay out of the match counts (they are documented as unaligned in the source data). After that pairing, we labeled each difference. Of 237 aligned cells, 237 landed in Match, 0 in Estimation/bootstrap noise, and 0 in Not match.
- Aligned cells
- 237
- Match
- 237
- Estimation/bootstrap noise
- 0
- Not match
- 0
05
How we scored agreement
For every aligned cell, Diff is SEMGate minus SmartPLS. Perfect machine equality is rare once floating-point math, export rounding, and Monte Carlo bootstrap residual meet. So we use three labels that separate tight agreement from ordinary numerical noise and from a true disagreement.
Match means the absolute difference stayed inside a tight band for that metric family: 0.0005 for Estimation cells, 0.001 for ordinary Bootstrap cells, 0.0015 for confidence-interval bounds, 0.05 for |t|, and 0.00005 for p. Think of Match as "close enough that a careful reader treats the digits as the same result."
Estimation/bootstrap noise is outside Match but still inside a wider band we treat as expected drift: estimation ≤ 0.005; bootstrap ≤ 0.02 or 5% relative; CI ≤ 0.025; |t| ≤ 0.5; p ≤ 0.01. This band catches tiny export-rounding or Within-MC residual without calling it a failure.
Not match is anything beyond that noise band, or a quantity present on only one side of a supposed pair. In this run, every aligned cell scored Match.
06
Read the cells yourself
The scorecard above is the summary. The table below is the evidence. Filter by Estimation or Bootstrap, scan a result family (paths, loadings, indirect effects, and the rest), or search a label. Values keep full export precision so you can audit any cell that entered the counts.
Showing 237 of 237 aligned cells
| Source | Item | SEMGate | SmartPLS | Diff | Match result |
|---|---|---|---|---|---|
| Estimation | Outer loadingsBI1 <- BI · Original (O) | 0.921931 | 0.921931 | 1.110e-16 | Match |
| Estimation | Outer loadingsBI2 <- BI · Original (O) | 0.867632 | 0.867632 | -7.772e-16 | Match |
| Estimation | Outer loadingsBI3 <- BI · Original (O) | 0.863095 | 0.863095 | 5.551e-16 | Match |
| Estimation | Outer loadingsEducation <- Education · Original (O) | 1.00000 | 1.00000 | -7.772e-16 | Match |
| Estimation | Outer loadingsSAT1 <- SAT · Original (O) | 0.568329 | 0.568329 | 1.554e-15 | Match |
| Estimation | Outer loadingsSAT2 <- SAT · Original (O) | 0.387551 | 0.387551 | -1.832e-15 | Match |
| Estimation | Outer loadingsSAT3 <- SAT · Original (O) | 0.808949 | 0.808949 | -1.443e-15 | Match |
| Estimation | Outer loadingsSAT4 <- SAT · Original (O) | 0.817526 | 0.817526 | -5.440e-15 | Match |
| Estimation | Outer loadingsSAT5 <- SAT · Original (O) | 0.815754 | 0.815754 | 2.331e-15 | Match |
| Estimation | Outer loadingsTRT1 <- TRT · Original (O) | 0.856345 | 0.856345 | -2.220e-16 | Match |
| Estimation | Outer loadingsTRT2 <- TRT · Original (O) | 0.888740 | 0.888740 | 1.110e-16 | Match |
| Estimation | Outer loadingsTRT3 <- TRT · Original (O) | 0.833529 | 0.833529 | -1.110e-15 | Match |
| Estimation | Outer loadingsTRT4 <- TRT · Original (O) | 0.857129 | 0.857129 | 1.221e-15 | Match |
| Estimation | Outer loadingsWoM1 <- WoM · Original (O) | 0.837464 | 0.837464 | 7.772e-16 | Match |
| Estimation | Outer loadingsWoM2 <- WoM · Original (O) | 0.811440 | 0.811440 | -3.331e-16 | Match |
| Estimation | Outer loadingsWoM3 <- WoM · Original (O) | 0.874000 | 0.874000 | -3.331e-16 | Match |
| Estimation | Path coefficientsEducation -> BI · Original (O) | 0.0409117 | 0.0409117 | -3.469e-16 | Match |
| Bootstrap | Path coefficientsEducation -> BI · Sample mean (M) | 0.0400712 | 0.0400712 | 8.327e-17 | Match |
| Bootstrap | Path coefficientsEducation -> BI · STDEV | 0.0395139 | 0.0395099 | 3.952e-6 | Match |
| Bootstrap | Path coefficientsEducation -> BI · |t| | 1.03538 | 1.03548 | -0.000103553 | Match |
| Bootstrap | Path coefficientsEducation -> BI · p | 0.300493 | 0.300495 | -1.708e-6 | Match |
| Bootstrap | Path coefficientsEducation -> BI · CI pct low | -0.0370917 | -0.0371842 | 9.250e-5 | Match |
| Bootstrap | Path coefficientsEducation -> BI · CI pct high | 0.117890 | 0.117890 | 8.501e-8 | Match |
| Bootstrap | Path coefficientsEducation -> BI · Bias | -0.000840567 | -0.000840567 | 4.302e-16 | Match |
| Bootstrap | Path coefficientsEducation -> BI · CI BC low | -0.0371219 | -0.0371842 | 6.231e-5 | Match |
| Bootstrap | Path coefficientsEducation -> BI · CI BC high | 0.117765 | 0.117740 | 2.531e-5 | Match |
| Estimation | Path coefficientsSAT -> BI · Original (O) | 0.578324 | 0.578324 | -2.998e-15 | Match |
| Bootstrap | Path coefficientsSAT -> BI · Sample mean (M) | 0.579736 | 0.579736 | 6.661e-16 | Match |
| Bootstrap | Path coefficientsSAT -> BI · STDEV | 0.0653559 | 0.0653493 | 6.536e-6 | Match |
| Bootstrap | Path coefficientsSAT -> BI · |t| | 8.84885 | 8.84974 | -0.000885018 | Match |
| Bootstrap | Path coefficientsSAT -> BI · p | 0.00000 | 5.684e-14 | -5.684e-14 | Match |
| Bootstrap | Path coefficientsSAT -> BI · CI pct low | 0.444353 | 0.444333 | 1.931e-5 | Match |
| Bootstrap | Path coefficientsSAT -> BI · CI pct high | 0.701433 | 0.701428 | 4.371e-6 | Match |
| Bootstrap | Path coefficientsSAT -> BI · Bias | 0.00141122 | 0.00141122 | 3.664e-15 | Match |
| Bootstrap | Path coefficientsSAT -> BI · CI BC low | 0.437298 | 0.437242 | 5.690e-5 | Match |
| Bootstrap | Path coefficientsSAT -> BI · CI BC high | 0.693766 | 0.693768 | -1.594e-6 | Match |
| Estimation | Path coefficientsSAT -> WoM · Original (O) | 0.185415 | 0.185415 | -1.499e-15 | Match |
| Bootstrap | Path coefficientsSAT -> WoM · Sample mean (M) | 0.189582 | 0.189582 | -4.996e-16 | Match |
| Bootstrap | Path coefficientsSAT -> WoM · STDEV | 0.0687684 | 0.0687615 | 6.877e-6 | Match |
| Bootstrap | Path coefficientsSAT -> WoM · |t| | 2.69622 | 2.69649 | -0.000269662 | Match |
| Bootstrap | Path coefficientsSAT -> WoM · p | 0.00701316 | 0.00703095 | -1.780e-5 | Match |
| Bootstrap | Path coefficientsSAT -> WoM · CI pct low | 0.0530301 | 0.0524856 | 0.000544516 | Match |
| Bootstrap | Path coefficientsSAT -> WoM · CI pct high | 0.321753 | 0.321749 | 4.693e-6 | Match |
| Bootstrap | Path coefficientsSAT -> WoM · Bias | 0.00416781 | 0.00416781 | 9.992e-16 | Match |
| Bootstrap | Path coefficientsSAT -> WoM · CI BC low | 0.0440704 | 0.0440539 | 1.657e-5 | Match |
| Bootstrap | Path coefficientsSAT -> WoM · CI BC high | 0.312429 | 0.312462 | -3.324e-5 | Match |
| Estimation | Path coefficientsTRT -> BI · Original (O) | 0.309842 | 0.309842 | -3.275e-15 | Match |
| Bootstrap | Path coefficientsTRT -> BI · Sample mean (M) | 0.304418 | 0.304418 | 1.665e-16 | Match |
| Bootstrap | Path coefficientsTRT -> BI · STDEV | 0.100074 | 0.100064 | 1.001e-5 | Match |
| Bootstrap | Path coefficientsTRT -> BI · |t| | 3.09614 | 3.09645 | -0.000309660 | Match |
| Bootstrap | Path coefficientsTRT -> BI · p | 0.00196058 | 0.00196937 | -8.793e-6 | Match |
| Bootstrap | Path coefficientsTRT -> BI · CI pct low | 0.101358 | 0.100876 | 0.000482644 | Match |
| Bootstrap | Path coefficientsTRT -> BI · CI pct high | 0.489802 | 0.489801 | 9.807e-7 | Match |
| Bootstrap | Path coefficientsTRT -> BI · Bias | -0.00542450 | -0.00542450 | 3.442e-15 | Match |
| Bootstrap | Path coefficientsTRT -> BI · CI BC low | 0.104611 | 0.104517 | 9.318e-5 | Match |
| Bootstrap | Path coefficientsTRT -> BI · CI BC high | 0.491577 | 0.491605 | -2.815e-5 | Match |
| Estimation | Path coefficientsTRT -> WoM · Original (O) | 0.302080 | 0.302080 | 9.437e-16 | Match |
| Bootstrap | Path coefficientsTRT -> WoM · Sample mean (M) | 0.306882 | 0.306882 | 4.996e-16 | Match |
| Bootstrap | Path coefficientsTRT -> WoM · STDEV | 0.0663005 | 0.0662939 | 6.630e-6 | Match |
| Bootstrap | Path coefficientsTRT -> WoM · |t| | 4.55622 | 4.55668 | -0.000455691 | Match |
| Bootstrap | Path coefficientsTRT -> WoM · p | 5.208e-6 | 5.321e-6 | -1.127e-7 | Match |
| Bootstrap | Path coefficientsTRT -> WoM · CI pct low | 0.179196 | 0.178885 | 0.000310937 | Match |
| Bootstrap | Path coefficientsTRT -> WoM · CI pct high | 0.441823 | 0.441816 | 7.110e-6 | Match |
| Bootstrap | Path coefficientsTRT -> WoM · Bias | 0.00480217 | 0.00480217 | -4.441e-16 | Match |
| Bootstrap | Path coefficientsTRT -> WoM · CI BC low | 0.173330 | 0.172697 | 0.000632905 | Match |
| Bootstrap | Path coefficientsTRT -> WoM · CI BC high | 0.433093 | 0.432965 | 0.000128088 | Match |
| Estimation | Path coefficientsTRT x SAT -> BI · Original (O) | 0.122916 | 0.122916 | -3.053e-15 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> BI · Sample mean (M) | 0.120251 | 0.120251 | 2.498e-16 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> BI · STDEV | 0.0408382 | 0.0408341 | 4.084e-6 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> BI · |t| | 3.00982 | 3.01013 | -0.000301028 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> BI · p | 0.00261399 | 0.00262443 | -1.044e-5 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> BI · CI pct low | 0.0380380 | 0.0379832 | 5.481e-5 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> BI · CI pct high | 0.198599 | 0.198598 | 8.962e-7 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> BI · Bias | -0.00266435 | -0.00266435 | 3.303e-15 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> BI · CI BC low | 0.0412987 | 0.0410697 | 0.000228945 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> BI · CI BC high | 0.202045 | 0.201980 | 6.514e-5 | Match |
| Estimation | Path coefficientsTRT x SAT -> WoM · Original (O) | -0.132085 | -0.132085 | 5.551e-17 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> WoM · Sample mean (M) | -0.128999 | -0.128999 | 5.551e-17 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> WoM · STDEV | 0.0436102 | 0.0436059 | 4.361e-6 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> WoM · |t| | 3.02875 | 3.02905 | -0.000302921 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> WoM · p | 0.00245567 | 0.00246573 | -1.006e-5 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> WoM · CI pct low | -0.213616 | -0.213970 | 0.000353918 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> WoM · CI pct high | -0.0402989 | -0.0403037 | 4.862e-6 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> WoM · Bias | 0.00308556 | 0.00308556 | 0.00000 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> WoM · CI BC low | -0.219950 | -0.219979 | 2.857e-5 | Match |
| Bootstrap | Path coefficientsTRT x SAT -> WoM · CI BC high | -0.0473284 | -0.0476834 | 0.000355060 | Match |
| Estimation | Path coefficientsWoM -> BI · Original (O) | 0.184782 | 0.184782 | 1.443e-15 | Match |
| Bootstrap | Path coefficientsWoM -> BI · Sample mean (M) | 0.185049 | 0.185049 | -5.551e-16 | Match |
| Bootstrap | Path coefficientsWoM -> BI · STDEV | 0.0417963 | 0.0417921 | 4.180e-6 | Match |
| Bootstrap | Path coefficientsWoM -> BI · |t| | 4.42102 | 4.42147 | -0.000442169 | Match |
| Bootstrap | Path coefficientsWoM -> BI · p | 9.823e-6 | 1.001e-5 | -1.881e-7 | Match |
| Bootstrap | Path coefficientsWoM -> BI · CI pct low | 0.102844 | 0.102515 | 0.000329247 | Match |
| Bootstrap | Path coefficientsWoM -> BI · CI pct high | 0.267794 | 0.267792 | 2.650e-6 | Match |
| Bootstrap | Path coefficientsWoM -> BI · Bias | 0.000266907 | 0.000266907 | -1.998e-15 | Match |
| Bootstrap | Path coefficientsWoM -> BI · CI BC low | 0.102512 | 0.102384 | 0.000127692 | Match |
| Bootstrap | Path coefficientsWoM -> BI · CI BC high | 0.267602 | 0.267552 | 5.014e-5 | Match |
| Estimation | Specific indirect effectsSAT -> WoM -> BI · Original (O) | 0.0342613 | 0.0342613 | -6.939e-18 | Match |
| Bootstrap | Specific indirect effectsSAT -> WoM -> BI · STDEV | 0.0149366 | 0.0149351 | 1.494e-6 | Match |
| Bootstrap | Specific indirect effectsSAT -> WoM -> BI · |t| | 2.29379 | 2.29402 | -0.000229413 | Match |
| Bootstrap | Specific indirect effectsSAT -> WoM -> BI · p | 0.0218027 | 0.0218308 | -2.808e-5 | Match |
| Bootstrap | Specific indirect effectsSAT -> WoM -> BI · CI pct low | 0.00875090 | 0.00872659 | 2.430e-5 | Match |
| Bootstrap | Specific indirect effectsSAT -> WoM -> BI · CI pct high | 0.0669527 | 0.0669491 | 3.637e-6 | Match |
| Bootstrap | Specific indirect effectsSAT -> WoM -> BI · CI BC low | 0.00972501 | 0.00969192 | 3.309e-5 | Match |
| Bootstrap | Specific indirect effectsSAT -> WoM -> BI · CI BC high | 0.0684030 | 0.0683549 | 4.810e-5 | Match |
| Estimation | Specific indirect effectsTRT -> WoM -> BI · Original (O) | 0.0558190 | 0.0558190 | 6.106e-16 | Match |
| Bootstrap | Specific indirect effectsTRT -> WoM -> BI · STDEV | 0.0167332 | 0.0167315 | 1.673e-6 | Match |
| Bootstrap | Specific indirect effectsTRT -> WoM -> BI · |t| | 3.33583 | 3.33617 | -0.000333633 | Match |
| Bootstrap | Specific indirect effectsTRT -> WoM -> BI · p | 0.000850439 | 0.000855615 | -5.176e-6 | Match |
| Bootstrap | Specific indirect effectsTRT -> WoM -> BI · CI pct low | 0.0288319 | 0.0287620 | 6.996e-5 | Match |
| Bootstrap | Specific indirect effectsTRT -> WoM -> BI · CI pct high | 0.0941707 | 0.0941671 | 3.576e-6 | Match |
| Bootstrap | Specific indirect effectsTRT -> WoM -> BI · CI BC low | 0.0305096 | 0.0303099 | 0.000199716 | Match |
| Bootstrap | Specific indirect effectsTRT -> WoM -> BI · CI BC high | 0.0973776 | 0.0972714 | 0.000106229 | Match |
| Estimation | Specific indirect effectsTRT x SAT -> WoM -> BI · Original (O) | -0.0244069 | -0.0244069 | -1.804e-16 | Match |
| Bootstrap | Specific indirect effectsTRT x SAT -> WoM -> BI · STDEV | 0.0102880 | 0.0102870 | 1.029e-6 | Match |
| Bootstrap | Specific indirect effectsTRT x SAT -> WoM -> BI · |t| | 2.37236 | 2.37260 | -0.000237271 | Match |
| Bootstrap | Specific indirect effectsTRT x SAT -> WoM -> BI · p | 0.0176749 | 0.0177012 | -2.626e-5 | Match |
| Bootstrap | Specific indirect effectsTRT x SAT -> WoM -> BI · CI pct low | -0.0467336 | -0.0467376 | 3.933e-6 | Match |
| Bootstrap | Specific indirect effectsTRT x SAT -> WoM -> BI · CI pct high | -0.00648415 | -0.00648417 | 2.433e-8 | Match |
| Bootstrap | Specific indirect effectsTRT x SAT -> WoM -> BI · CI BC low | -0.0507079 | -0.0506625 | -4.544e-5 | Match |
| Bootstrap | Specific indirect effectsTRT x SAT -> WoM -> BI · CI BC high | -0.00834864 | -0.00833528 | -1.337e-5 | Match |
| Estimation | Total effectsEducation -> BI · Original (O) | 0.0409117 | 0.0409117 | -3.400e-16 | Match |
| Bootstrap | Total effectsEducation -> BI · Sample mean (M) | 0.0400712 | 0.0400712 | 8.327e-17 | Match |
| Bootstrap | Total effectsEducation -> BI · STDEV | 0.0395139 | 0.0395099 | 3.952e-6 | Match |
| Bootstrap | Total effectsEducation -> BI · |t| | 1.03538 | 1.03548 | -0.000103553 | Match |
| Bootstrap | Total effectsEducation -> BI · p | 0.300493 | 0.300495 | -1.708e-6 | Match |
| Bootstrap | Total effectsEducation -> BI · CI pct low | -0.0370917 | -0.0371842 | 9.250e-5 | Match |
| Bootstrap | Total effectsEducation -> BI · CI pct high | 0.117890 | 0.117890 | 8.501e-8 | Match |
| Bootstrap | Total effectsEducation -> BI · Bias | -0.000840567 | -0.000840567 | 4.233e-16 | Match |
| Bootstrap | Total effectsEducation -> BI · CI BC low | -0.0371219 | -0.0371842 | 6.231e-5 | Match |
| Bootstrap | Total effectsEducation -> BI · CI BC high | 0.117765 | 0.117740 | 2.531e-5 | Match |
| Estimation | Total effectsSAT -> BI · Original (O) | 0.612586 | 0.612586 | -2.998e-15 | Match |
| Bootstrap | Total effectsSAT -> BI · Sample mean (M) | 0.614603 | 0.614603 | 8.882e-16 | Match |
| Bootstrap | Total effectsSAT -> BI · STDEV | 0.0654755 | 0.0654689 | 6.548e-6 | Match |
| Bootstrap | Total effectsSAT -> BI · |t| | 9.35596 | 9.35689 | -0.000935736 | Match |
| Bootstrap | Total effectsSAT -> BI · p | 0.00000 | 5.684e-14 | -5.684e-14 | Match |
| Bootstrap | Total effectsSAT -> BI · CI pct low | 0.479864 | 0.479304 | 0.000559713 | Match |
| Bootstrap | Total effectsSAT -> BI · CI pct high | 0.735969 | 0.735964 | 4.724e-6 | Match |
| Bootstrap | Total effectsSAT -> BI · Bias | 0.00201779 | 0.00201779 | 3.886e-15 | Match |
| Bootstrap | Total effectsSAT -> BI · CI BC low | 0.470591 | 0.470501 | 9.001e-5 | Match |
| Bootstrap | Total effectsSAT -> BI · CI BC high | 0.729522 | 0.729617 | -9.459e-5 | Match |
| Estimation | Total effectsSAT -> WoM · Original (O) | 0.185415 | 0.185415 | -1.138e-15 | Match |
| Bootstrap | Total effectsSAT -> WoM · Sample mean (M) | 0.189582 | 0.189582 | -4.718e-16 | Match |
| Bootstrap | Total effectsSAT -> WoM · STDEV | 0.0687684 | 0.0687615 | 6.877e-6 | Match |
| Bootstrap | Total effectsSAT -> WoM · |t| | 2.69622 | 2.69649 | -0.000269662 | Match |
| Bootstrap | Total effectsSAT -> WoM · p | 0.00701316 | 0.00703095 | -1.780e-5 | Match |
| Bootstrap | Total effectsSAT -> WoM · CI pct low | 0.0530301 | 0.0524856 | 0.000544516 | Match |
| Bootstrap | Total effectsSAT -> WoM · CI pct high | 0.321753 | 0.321749 | 4.693e-6 | Match |
| Bootstrap | Total effectsSAT -> WoM · Bias | 0.00416781 | 0.00416781 | 6.661e-16 | Match |
| Bootstrap | Total effectsSAT -> WoM · CI BC low | 0.0440704 | 0.0440539 | 1.657e-5 | Match |
| Bootstrap | Total effectsSAT -> WoM · CI BC high | 0.312429 | 0.312462 | -3.324e-5 | Match |
| Estimation | Total effectsTRT -> BI · Original (O) | 0.365661 | 0.365661 | -2.554e-15 | Match |
| Bootstrap | Total effectsTRT -> BI · Sample mean (M) | 0.360728 | 0.360728 | -4.441e-16 | Match |
| Bootstrap | Total effectsTRT -> BI · STDEV | 0.0930321 | 0.0930228 | 9.304e-6 | Match |
| Bootstrap | Total effectsTRT -> BI · |t| | 3.93048 | 3.93088 | -0.000393107 | Match |
| Bootstrap | Total effectsTRT -> BI · p | 8.477e-5 | 8.578e-5 | -1.011e-6 | Match |
| Bootstrap | Total effectsTRT -> BI · CI pct low | 0.172811 | 0.172656 | 0.000155541 | Match |
| Bootstrap | Total effectsTRT -> BI · CI pct high | 0.535073 | 0.535071 | 1.040e-6 | Match |
| Bootstrap | Total effectsTRT -> BI · Bias | -0.00493293 | -0.00493293 | 2.109e-15 | Match |
| Bootstrap | Total effectsTRT -> BI · CI BC low | 0.178214 | 0.178145 | 6.869e-5 | Match |
| Bootstrap | Total effectsTRT -> BI · CI BC high | 0.536672 | 0.536655 | 1.678e-5 | Match |
| Estimation | Total effectsTRT -> WoM · Original (O) | 0.302080 | 0.302080 | 1.221e-15 | Match |
| Bootstrap | Total effectsTRT -> WoM · Sample mean (M) | 0.306882 | 0.306882 | 5.551e-16 | Match |
| Bootstrap | Total effectsTRT -> WoM · STDEV | 0.0663005 | 0.0662939 | 6.630e-6 | Match |
| Bootstrap | Total effectsTRT -> WoM · |t| | 4.55622 | 4.55668 | -0.000455691 | Match |
| Bootstrap | Total effectsTRT -> WoM · p | 5.208e-6 | 5.321e-6 | -1.128e-7 | Match |
| Bootstrap | Total effectsTRT -> WoM · CI pct low | 0.179196 | 0.178885 | 0.000310937 | Match |
| Bootstrap | Total effectsTRT -> WoM · CI pct high | 0.441823 | 0.441816 | 7.110e-6 | Match |
| Bootstrap | Total effectsTRT -> WoM · Bias | 0.00480217 | 0.00480217 | -6.661e-16 | Match |
| Bootstrap | Total effectsTRT -> WoM · CI BC low | 0.173330 | 0.172697 | 0.000632905 | Match |
| Bootstrap | Total effectsTRT -> WoM · CI BC high | 0.433093 | 0.432965 | 0.000128088 | Match |
| Estimation | Total indirect effectsTRT x SAT -> BI · Original (O) | -0.0244069 | -0.0244069 | -2.151e-16 | Match |
| Bootstrap | Total indirect effectsTRT x SAT -> BI · Sample mean (M) | -0.0240080 | -0.0240080 | 4.510e-17 | Match |
| Bootstrap | Total indirect effectsTRT x SAT -> BI · STDEV | 0.0102880 | 0.0102870 | 1.029e-6 | Match |
| Bootstrap | Total indirect effectsTRT x SAT -> BI · |t| | 2.37236 | 2.37260 | -0.000237271 | Match |
| Bootstrap | Total indirect effectsTRT x SAT -> BI · p | 0.0176749 | 0.0177012 | -2.626e-5 | Match |
| Bootstrap | Total indirect effectsTRT x SAT -> BI · CI pct low | -0.0467336 | -0.0467376 | 3.933e-6 | Match |
| Bootstrap | Total indirect effectsTRT x SAT -> BI · CI pct high | -0.00648415 | -0.00648417 | 2.433e-8 | Match |
| Bootstrap | Total indirect effectsTRT x SAT -> BI · Bias | 0.000398884 | 0.000398884 | 2.602e-16 | Match |
| Bootstrap | Total indirect effectsTRT x SAT -> BI · CI BC low | -0.0507079 | -0.0506625 | -4.544e-5 | Match |
| Bootstrap | Total indirect effectsTRT x SAT -> BI · CI BC high | -0.00834864 | -0.00833528 | -1.337e-5 | Match |
| Estimation | Total effectsTRT x SAT -> WoM · Original (O) | -0.132085 | -0.132085 | 2.776e-17 | Match |
| Bootstrap | Total effectsTRT x SAT -> WoM · Sample mean (M) | -0.128999 | -0.128999 | 8.327e-17 | Match |
| Bootstrap | Total effectsTRT x SAT -> WoM · STDEV | 0.0436102 | 0.0436059 | 4.361e-6 | Match |
| Bootstrap | Total effectsTRT x SAT -> WoM · |t| | 3.02875 | 3.02905 | -0.000302921 | Match |
| Bootstrap | Total effectsTRT x SAT -> WoM · p | 0.00245567 | 0.00246573 | -1.006e-5 | Match |
| Bootstrap | Total effectsTRT x SAT -> WoM · CI pct low | -0.213616 | -0.213970 | 0.000353918 | Match |
| Bootstrap | Total effectsTRT x SAT -> WoM · CI pct high | -0.0402989 | -0.0403037 | 4.862e-6 | Match |
| Bootstrap | Total effectsTRT x SAT -> WoM · Bias | 0.00308556 | 0.00308556 | 5.551e-17 | Match |
| Bootstrap | Total effectsTRT x SAT -> WoM · CI BC low | -0.219950 | -0.219979 | 2.857e-5 | Match |
| Bootstrap | Total effectsTRT x SAT -> WoM · CI BC high | -0.0473284 | -0.0476834 | 0.000355060 | Match |
| Estimation | Total effectsWoM -> BI · Original (O) | 0.184782 | 0.184782 | 1.610e-15 | Match |
| Bootstrap | Total effectsWoM -> BI · Sample mean (M) | 0.185049 | 0.185049 | -5.274e-16 | Match |
| Bootstrap | Total effectsWoM -> BI · STDEV | 0.0417963 | 0.0417921 | 4.180e-6 | Match |
| Bootstrap | Total effectsWoM -> BI · |t| | 4.42102 | 4.42147 | -0.000442169 | Match |
| Bootstrap | Total effectsWoM -> BI · p | 9.823e-6 | 1.001e-5 | -1.885e-7 | Match |
| Bootstrap | Total effectsWoM -> BI · CI pct low | 0.102844 | 0.102515 | 0.000329247 | Match |
| Bootstrap | Total effectsWoM -> BI · CI pct high | 0.267794 | 0.267792 | 2.650e-6 | Match |
| Bootstrap | Total effectsWoM -> BI · Bias | 0.000266907 | 0.000266907 | -2.137e-15 | Match |
| Bootstrap | Total effectsWoM -> BI · CI BC low | 0.102512 | 0.102384 | 0.000127692 | Match |
| Bootstrap | Total effectsWoM -> BI · CI BC high | 0.267602 | 0.267552 | 5.014e-5 | Match |
| Estimation | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · Original (O) | -0.0244069 | -0.0244069 | -1.804e-16 | Match |
| Bootstrap | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · Sample mean (M) | -0.0240080 | -0.0240080 | 6.939e-17 | Match |
| Bootstrap | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · STDEV | 0.0102880 | 0.0102870 | 1.029e-6 | Match |
| Bootstrap | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · |t| | 2.37236 | 2.37260 | -0.000237271 | Match |
| Bootstrap | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · p | 0.0176749 | 0.0177012 | -2.626e-5 | Match |
| Bootstrap | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · CI pct low | -0.0467336 | -0.0467376 | 3.933e-6 | Match |
| Bootstrap | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · CI pct high | -0.00648415 | -0.00648417 | 2.433e-8 | Match |
| Bootstrap | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · Bias | 0.000398884 | 0.000398884 | 2.498e-16 | Match |
| Bootstrap | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · CI BC low | -0.0507079 | -0.0506625 | -4.544e-5 | Match |
| Bootstrap | CoMe omegaCoMe ω (SAT -> WoM -> BI; W=TRT) ≡ TRT x SAT -> WoM -> BI · CI BC high | -0.00834864 | -0.00833528 | -1.337e-5 | Match |
| Estimation | Conditional indirect effectsSAT -> WoM -> BI TRT at +1 SD · Original (O) | 0.00985443 | 0.00985443 | -1.891e-16 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at +1 SD · Sample mean (M) | 0.0108599 | 0.0108599 | -1.735e-18 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at +1 SD · STDEV | 0.0182550 | 0.0182532 | 1.826e-6 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at +1 SD · |t| | 0.539821 | 0.539875 | -5.399e-5 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at +1 SD · p | 0.589320 | 0.589307 | 1.320e-5 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at +1 SD · CI pct low | -0.0252823 | -0.0253653 | 8.299e-5 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at +1 SD · CI pct high | 0.0481708 | 0.0481705 | 3.343e-7 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at +1 SD · CI BC low | -0.0274467 | -0.0275584 | 0.000111725 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at +1 SD · CI BC high | 0.0462744 | 0.0462492 | 2.514e-5 | Match |
| Estimation | Conditional indirect effectsSAT -> WoM -> BI TRT at -1 SD · Original (O) | 0.0586682 | 0.0586682 | 1.735e-16 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at -1 SD · Sample mean (M) | 0.0588759 | 0.0588759 | 6.245e-17 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at -1 SD · STDEV | 0.0180179 | 0.0180161 | 1.802e-6 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at -1 SD · |t| | 3.25611 | 3.25643 | -0.000325659 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at -1 SD · p | 0.00112952 | 0.00113575 | -6.229e-6 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at -1 SD · CI pct low | 0.0281000 | 0.0280504 | 4.956e-5 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at -1 SD · CI pct high | 0.0985492 | 0.0985471 | 2.077e-6 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at -1 SD · CI BC low | 0.0301231 | 0.0300305 | 9.267e-5 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at -1 SD · CI BC high | 0.101684 | 0.101497 | 0.000186108 | Match |
| Estimation | Conditional indirect effectsSAT -> WoM -> BI TRT at Mean · Original (O) | 0.0342613 | 0.0342613 | -6.939e-18 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at Mean · Sample mean (M) | 0.0348679 | 0.0348679 | -1.388e-16 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at Mean · STDEV | 0.0149366 | 0.0149351 | 1.494e-6 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at Mean · |t| | 2.29379 | 2.29402 | -0.000229413 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at Mean · p | 0.0218027 | 0.0218308 | -2.808e-5 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at Mean · CI pct low | 0.00875090 | 0.00872659 | 2.430e-5 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at Mean · CI pct high | 0.0669527 | 0.0669491 | 3.637e-6 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at Mean · CI BC low | 0.00972501 | 0.00969192 | 3.309e-5 | Match |
| Bootstrap | Conditional indirect effectsSAT -> WoM -> BI TRT at Mean · CI BC high | 0.0684030 | 0.0683549 | 4.810e-5 | Match |
07
Try it yourself
If the story still feels abstract, run the same sequence on your machine. Download Satisfaction_Data.sav, open it in SmartPLS 4.1.2.1 and in SEMGate, and rebuild the path model from the diagrams above.
Then lock the same knobs we used: Path weighting, Fixed seed, B = 5000, BCa, α = 0.05, and two-tailed. Export Estimation and Bootstrap from both tools, line up the cells the way this page does, and compare your Diff values with the searchable table. That is the whole validation story: same data, same model, same rules, then the digits.
SmartPLS is a trademark of SmartPLS GmbH. This page is an independent digit comparison for validation documentation.
