Fully Bayesian inference on the calibration data set assigned 423 sessions across six knower levels and estimated an evidence value v of 16.94¶

Claim · All claims
Evidence · 1 study · design r2 · q2
Currency · newest study 2011 · not yet checked against its sources · not reviewed by a person

Subclaims¶

q2 i? Bayesian inference on the calibration data (423 sessions) inferred 9 0-knowers, 48 1-knowers, 50 2-knowers, 53 3-knowers, 67 4-knowers, and 196 CP-knowers, with an evidence value v of 16.94 (SD = 0.69). → Negen 2011

Evidence¶

Negen 2011¶

Negen, J., Sarnecka, B. W., & Lee, M. D. (2011). An Excel sheet for inferring children's number-knower levels from give-N data. Behavior Research Methods. https://doi.org/10.3758/s13428-011-0134-4

q2 · i? · design · r2

Fully Bayesian inference on the calibration data set from Negen and Sarnecka (2010), using two chains with 2,000 burn-in and 25,000 collection samples each. The article also reports "an evidence value v of 16.94 ( SD=0.69)", slightly lower than values from other data sets (about 29 and 23).

"The model inferred that among the children tested, 9 were 0-knowers, 48 were 1-knowers, 50 were 2-knowers, 53 were 3-knowers, 67 were 4-knowers, and 196 were CP-knowers."

Discussion¶

Related Claims¶

• The Excel sheet's knower-level inference closely matches fully Bayesian inference, with no discrepancies in posterior maxima — related
• The Excel sheet's knower-level estimates agree with a 2:1 heuristic on 38 of 56 children and are more lenient for larger set sizes — related
• Analyzing Give-N data by knower-level yields greater statistical power than analyzing by percent correct, plausibly explaining the discrepancy with Ansari et al. (2003). — related
• Knower levels were longitudinally stable across sessions, replicating Wynn, while the CP-Non-Mapper/CP-Mapper distinction fluctuated across sessions — related