SableMeyerMascarenhas2022: experimental results (generated) #
Auto-generated from Linglib/Data/Experiments/SableMeyerMascarenhas2022.json by
scripts/gen_experiments.py. Do not edit by hand: edit the JSON and re-run the generator.
A norming study and two inference-endorsement experiments on indirect illusory inferences from disjunction. The norming study rated the strength of the causal link in conditionals of three kinds: the crucial dependence from the hint d to the conjunct a, and the control dependences a-to-b and d-to-b; item 0 was removed after the control block showed an effect driven by it. Experiment 1 presented problems of the form (a and b) or c; d, therefore b; Experiment 2 moved the causal step to the conclusion: (b and d) or c; b, therefore a. Acceptance of the fallacy is regressed on the normed strength of the d-to-a link; coefficients, control rates and the binomial model are recorded as printed.
Raw data #
- https://osf.io/tuc8s/: complete materials, collected data, and analysis code
References #
Equations
- SableMeyerMascarenhas2022.instDecidableEqStudy x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
The three normed causal links of the norming study (8).
- hintToConjunct : Dependence
d to a: the crucial link from the hint to the first conjunct
- conjunctToConjunct : Dependence
a to b: control: from the first to the second conjunct
- hintToConclusion : Dependence
d to b: control: from the hint to the concluded conjunct
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqDependence x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
How a p-value is printed.
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqBound x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Equations
- SableMeyerMascarenhas2022.instDecidableEqTerm x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
The two inference tasks.
- experimentOne : Experiment
Experiment 1: hint step
- experimentTwo : Experiment
Experiment 2: conclusion step
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqExperiment x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
The eight d-to-a item sets of (9).
- item0 : Item
0: fertilizer put on the plants, plants grew quickly
- item1 : Item
1: brake depressed, car slowed down
- item2 : Item
2: Mary jumped into the pool, Mary got wet
- item3 : Item
3: trigger pulled, gun fired
- item4 : Item
4: Larry grasped the glass, fingerprints on the glass
- item5 : Item
5: gong struck, gong sounded
- item6 : Item
6: John studied hard, did well on the test
- item7 : Item
7: apples ripe, fell from the tree
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqItem x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
Whether an item set was kept for the inference tasks.
- kept : ItemStatus
kept:
- removed : ItemStatus
removed: removed after the norming analysis
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqItemStatus x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
The comparisons the target acceptance was tested against.
- chance : Comparison
chance:
- validControls : Comparison
valid controls:
- invalidControls : Comparison
invalid controls:
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqComparison x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
The outcome of the norming ANOVA for a block.
- noEffect : AnovaOutcome
no effect: no significant effect of the materials at the .05 level
- effect : AnovaOutcome
effect: a significant effect at the .05 level
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqAnovaOutcome x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
Whether a model term is reported significant.
- significant : Significance
significant:
- notSignificant : Significance
not significant:
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqSignificance x✝ y✝ = if h : x✝.ctorIdx = y✝.ctorIdx then isTrue ⋯ else isFalse ⋯
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
Acceptance of the classical illusory inference from disjunction, about 85% across studies. (§1, p. 568; checked against the PDF text layer only.)
Equations
Instances For
Conditional sentences rated in the norming study, three blocks of eight. (§3.1.2, p. 573; checked against the PDF text layer only.)
Equations
Instances For
Item sets kept for the inference tasks after item 0 was removed. (§3.2.1, p. 576; checked against the PDF text layer only.)
Equations
Instances For
Indirect illusory inference trials, interleaved with three valid and three invalid controls. (§3.1.2, p. 575; checked against the PDF text layer only.)
Equations
Instances For
Valid modus ponens controls. (§3.1.2, p. 575; checked against the PDF text layer only.)
Equations
Instances For
Invalid controls denying the antecedent. (§3.1.2, p. 575; checked against the PDF text layer only.)
Equations
Instances For
Individuals recruited across the three studies. (§3.1.1, p. 573; checked against the PDF text layer only.)
Equations
Instances For
Norming participants in the first batch, halted over a reward-wording error. (§3.1.1, p. 574; checked against the PDF text layer only.)
Equations
Instances For
Norming participants reporting back in the second batch of 160. (§3.1.1, p. 574; checked against the PDF text layer only.)
Equations
Instances For
Experiment 1 participants excluded for having taken the norming study. (§3.1.1, p. 574; checked against the PDF text layer only.)
Equations
Instances For
Experiment 2 participants excluded for an earlier related experiment. (§4.1, p. 579; checked against the PDF text layer only.)
Equations
Instances For
Points of the causal-strength rating scale. (§3.1.2, p. 574; checked against the PDF text layer only.)
Equations
Instances For
Item sets normed, of which seven were kept. (§3.2.1, p. 576; checked against the PDF text layer only.)
Equations
Instances For
The acceptance the Experiment 1 model predicts in the matching limit P(a given d) = 1: intercept plus slope. (§5, p. 581; checked against the PDF text layer only.)
Equations
- SableMeyerMascarenhas2022.matchingLimitAcceptance = { mantissa := 92, exponent := 2 }
Instances For
A row of Table 1, p. 574: the participant breakdown of Table 1.
- recruited : ℕ
Participants recruited.
- analysed : ℕ
Participants analysed.
- femalePct : Data.Experiments.Decimal
Percent female.
- ageMean : ℕ
Mean age.
- ageSD : Data.Experiments.Decimal
Standard deviation of age.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
Instances For
The cells of Table 1, p. 574, by study; checked against the PDF text layer only.
Equations
- One or more equations did not get rendered due to their size.
Instances For
A row of §3.2.2, p. 576; §4.2, p. 579: mean acceptance of the valid and invalid controls, with standard errors.
- validPct : Data.Experiments.Decimal
Acceptance of valid controls, percent.
- validSE : Data.Experiments.Decimal
Its standard error.
- invalidPct : Data.Experiments.Decimal
Acceptance of invalid controls, percent.
- invalidSE : Data.Experiments.Decimal
Its standard error.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
Instances For
The cells of §3.2.2, p. 576; §4.2, p. 579, by experiment; checked against the PDF text layer only.
Equations
- One or more equations did not get rendered due to their size.
Instances For
A row of §3.2.2, p. 577; §4.2, p. 580: the per-item regression of fallacy acceptance on the normed strength of the d-to-a link.
- slope : Data.Experiments.Decimal
The slope.
- intercept : Option Data.Experiments.Decimal
The intercept, when reported.
- interceptSE : Option Data.Experiments.Decimal
Its standard error.
- slopeSE : Data.Experiments.Decimal
Its standard error.
- rSquared : Data.Experiments.Decimal
The coefficient of determination.
- fStat : Data.Experiments.Decimal
The F statistic on 1 and 5 degrees of freedom.
- pBound : Bound
How the p-value is printed.
The p-value.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
The cells of §3.2.2, p. 577; §4.2, p. 580, by experiment; checked against the PDF text layer only.
Equations
- One or more equations did not get rendered due to their size.
Instances For
A row of Table 2, p. 578: the binomial model of Table 2: acceptance as a function of the normed d-to-a strength, the error rate on controls, and their interaction (centered predictors).
- beta : Data.Experiments.Decimal
The coefficient.
Its standard error.
The z-value.
- pBound : Bound
How the p-value is printed.
The p-value.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
The cells of Table 2, p. 578, by term; checked against the PDF text layer only.
Equations
- One or more equations did not get rendered due to their size.
Instances For
A row of (9) and §3.2.1, pp. 575-576: the eight item sets and whether they survived the norming analysis.
- status : ItemStatus
Kept or removed.
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqItemRow.decEq { status := a } { status := b } = if h : a = b then h ▸ isTrue ⋯ else isFalse ⋯
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
The cells of (9) and §3.2.1, pp. 575-576, by item; checked against the page images.
Equations
- SableMeyerMascarenhas2022.items SableMeyerMascarenhas2022.Item.item0 = { status := SableMeyerMascarenhas2022.ItemStatus.removed }
- SableMeyerMascarenhas2022.items SableMeyerMascarenhas2022.Item.item1 = { status := SableMeyerMascarenhas2022.ItemStatus.kept }
- SableMeyerMascarenhas2022.items SableMeyerMascarenhas2022.Item.item2 = { status := SableMeyerMascarenhas2022.ItemStatus.kept }
- SableMeyerMascarenhas2022.items SableMeyerMascarenhas2022.Item.item3 = { status := SableMeyerMascarenhas2022.ItemStatus.kept }
- SableMeyerMascarenhas2022.items SableMeyerMascarenhas2022.Item.item4 = { status := SableMeyerMascarenhas2022.ItemStatus.kept }
- SableMeyerMascarenhas2022.items SableMeyerMascarenhas2022.Item.item5 = { status := SableMeyerMascarenhas2022.ItemStatus.kept }
- SableMeyerMascarenhas2022.items SableMeyerMascarenhas2022.Item.item6 = { status := SableMeyerMascarenhas2022.ItemStatus.kept }
- SableMeyerMascarenhas2022.items SableMeyerMascarenhas2022.Item.item7 = { status := SableMeyerMascarenhas2022.ItemStatus.kept }
Instances For
A row of §3.2.1, p. 576: the norming ANOVA outcome per control block; the crucial block was not tested.
- anova : Option AnovaOutcome
The ANOVA outcome, when one was run.
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqNormingBlock.decEq { anova := a } { anova := b } = if h : a = b then h ▸ isTrue ⋯ else isFalse ⋯
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
Instances For
The cells of §3.2.1, p. 576, by block; checked against the PDF text layer only.
Equations
- SableMeyerMascarenhas2022.normingBlocks SableMeyerMascarenhas2022.Dependence.hintToConjunct = { anova := none }
- SableMeyerMascarenhas2022.normingBlocks SableMeyerMascarenhas2022.Dependence.conjunctToConjunct = { anova := some SableMeyerMascarenhas2022.AnovaOutcome.noEffect }
- SableMeyerMascarenhas2022.normingBlocks SableMeyerMascarenhas2022.Dependence.hintToConclusion = { anova := some SableMeyerMascarenhas2022.AnovaOutcome.effect }
Instances For
A row of §3.2.2, p. 577; §4.2, p. 580: the t-tests of target acceptance against chance and the controls.
- pBound : Bound
How the p-value is printed.
The p-value.
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
Equations
- One or more equations did not get rendered due to their size.
Instances For
The cells of §3.2.2, p. 577; §4.2, p. 580, by experiment and comparison; checked against the PDF text layer only.
Equations
- One or more equations did not get rendered due to their size.
Instances For
A row of §4.2, p. 580: the Experiment 2 binomial model, reported qualitatively: only the crucial rating is significant.
- significance : Option Significance
As reported; the intercept is not discussed.
Instances For
Equations
- SableMeyerMascarenhas2022.instDecidableEqBinomialTermTwo.decEq { significance := a } { significance := b } = if h : a = b then h ▸ isTrue ⋯ else isFalse ⋯
Instances For
Equations
- One or more equations did not get rendered due to their size.
Instances For
Equations
The cells of §4.2, p. 580, by term; checked against the PDF text layer only.
Equations
- SableMeyerMascarenhas2022.binomialModelExpTwo SableMeyerMascarenhas2022.Term.intercept = { significance := none }
- SableMeyerMascarenhas2022.binomialModelExpTwo SableMeyerMascarenhas2022.Term.normedStrength = { significance := some SableMeyerMascarenhas2022.Significance.significant }
- SableMeyerMascarenhas2022.binomialModelExpTwo SableMeyerMascarenhas2022.Term.errorOnControls = { significance := some SableMeyerMascarenhas2022.Significance.notSignificant }
- SableMeyerMascarenhas2022.binomialModelExpTwo SableMeyerMascarenhas2022.Term.interaction = { significance := some SableMeyerMascarenhas2022.Significance.notSignificant }