From cdb4a86be02f18dcffd65332cf4bc4a546fe35db Mon Sep 17 00:00:00 2001 From: "M. Taylor Saotome-Westlake" Date: Sun, 1 Sep 2019 23:00:53 -0700 Subject: [PATCH] actually, move the Jensen footnote location (It's also relevant for lending plausibility to the "sex differences in special factor" idea.) --- ...te-standardized-effect-sizes-of-cognitive-sex-differences.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/content/2019/does-general-intelligence-deflate-standardized-effect-sizes-of-cognitive-sex-differences.md b/content/2019/does-general-intelligence-deflate-standardized-effect-sizes-of-cognitive-sex-differences.md index f8ee6cc..0f7ad3b 100644 --- a/content/2019/does-general-intelligence-deflate-standardized-effect-sizes-of-cognitive-sex-differences.md +++ b/content/2019/does-general-intelligence-deflate-standardized-effect-sizes-of-cognitive-sex-differences.md @@ -51,7 +51,7 @@ naïve_d = cohens_d(measured_f, measured_m) print(naïve_d) # 0.8953395386313235 — deflated! ``` -But doesn't a similar argument hold for non-error sources of variance that are "orthogonal" to the group difference? Suppose performance on some particular cognitive task can be modeled as the sum of the general intelligence factor (zero or negligible sex difference[ref]Arthur Jensen, _The g Factor_, Chapter 13: "Although no evidence was found for sex differences in the mean level of _g_ or in the variability of _g_, there is clear evidence of marked sex differences in group factors and in test specificity. Males, on average, excel on some factors; females on others. [...] But the best available evidence fails to show a sex difference in _g_."[/ref]), and a special ability factor that does show sex differences. Then, even with zero measurement error, _d_ would underestimate the difference between women and men _of the same general intelligence_— +But doesn't a similar argument hold for non-error sources of variance that are "orthogonal" to the group difference? Suppose performance on some particular cognitive task can be modeled as the sum of the general intelligence factor (zero or negligible sex difference), and a special ability factor that does show sex differences.[ref]Arthur Jensen, _The g Factor_, Chapter 13: "Although no evidence was found for sex differences in the mean level of _g_ or in the variability of _g_, there is clear evidence of marked sex differences in group factors and in test specificity. Males, on average, excel on some factors; females on others. [...] But the best available evidence fails to show a sex difference in _g_."[/ref] Then, even with zero measurement error, _d_ would underestimate the difference between women and men _of the same general intelligence_— ```python def performance(μ_g, σ_g, s, n): -- 2.17.1