Showing posts with label statistics. Show all posts
Showing posts with label statistics. Show all posts

Sunday, April 5, 2026

Thin Slice evaluation in Social Settings

This is the abstract for Ambady, Nalini, and Robert Rosenthal. "Half a Minute: Predicting Teacher Evaluations From Thin Slices of Nonverbal Behavior and Physical Attractiveness." Journal of Personality and Social Psychology 64, no. 3 (1993): 431–441. https://doi.org/10.1037/0022-3514.64.3.431.

The accuracy of strangers' consensual judgments of personality based on "thin slices" of targets' nonverbal behavior were examined in relation to an ecologically valid criterion variable. In the 1st study, consensual judgments of college teachers' molar nonverbal behavior based on very brief (under 30 s) silent video clips significantly predicted global end-of-semester student evaluations of teachers. In the 2nd study, similar judgments predicted a principal's ratings of high school teachers. In the 3rd study, ratings of even thinner slices (6-s and 15-s clips) were strongly related to the criterion variables. Ratings of specific micrononverbal behaviors and ratings of teachers' physical attractiveness were not as strongly related to the criterion variable. These findings have important implications for the areas of personality judgment, impression formation, and nonverbal behavior.

The paper is accessible in multiple places on the web, e.g. here. The paper extended NaliniAmbady's dissertation research at Harvard, where Rosenthal was her advisor.

The careful study design is resistant to many of the criticisms that "thin slice" research has been submitted to since the work of Todorov and the "Blink!" popularization. The work builds in three incremental studies, it specifically checks for the attractiveness bias, and it used not only student but also principal evaluation to check for comparability. It did not work on thinning the slices until the third study.

Ambady was bitten, however by the assumption that student evaluations were an informative signal.

The criterion was end-of-the-semester student evaluations. Although student achievement (adjusted for student ability) might be the best possible criterion of effective teaching, it is very difficult to obtain such data. Teacher effectiveness in the real world is often evaluated solely on the basis of ratings of supervisors and students. Therefore, we used end-of-the-semester student ratings of teachers as a measure of teacher effectiveness. Considerable evidence supports the validity of student evaluations: Student ratings are consistent over time and across raters; correlate positively with expert, colleague, and administrator ratings; are independent of extraneous characteristics or characteristics of the students themselves; correlate significantly with how much students actually learn; and, last, do not change appreciably with greater age of the student rater and reflection by the student (Abrami, d'Apollonia, & Cohen, 1990; Centra, 1979; Cohen, 1981; Feldman, 1989a, 1989b; Howard, Conway, & Maxwell, 1985; Kulik & Kulik, 1974; Leventhal, Perry, & Abrami, 1977; Marsh, 1984; McKeachie, 1979; Trent & Cohen, 1973). Thus, student evaluations seem to be a valid means of evaluating teacher effectiveness. (432)

That stance was substantially challenged by the research of Boring, Ottoboni & Stark (2016), which used substantial data sets to argue that

Student evaluations of teaching (SET) are widely used in academic personnel decisions as a measure of teaching effectiveness. We [i.e. Boring, Ottoboni & Stark] show:

  • SET are biased against female instructors by an amount that is large and statistically significant.

  • The bias affects how students rate even putatively objective aspects of teaching, such as how promptly assignments are graded.

  • The bias varies by discipline and by student gender, among other things.

  • It is not possible to adjust for the bias, because it depends on so many factors.

  • SET are more sensitive to students’ gender bias and grade expectations than they are to teaching effectiveness.

  • Gender biases can be large enough to cause more effective instructors to get lower SET than less effective instructors.

These findings are based on nonparametric statistical tests applied to two datasets: 23,001 SET of 379 instructors by 4,423 students in six mandatory first-year courses in a five-year natural experiment at a French university, and 43 SET for four sections of an online course in a randomized, controlled, blind experiment at a US university.

This research appeared three years after Ambady's passing away in 2013.

Ambady's & Rosenthal's work was also hampered by the winner's curse, which their three-times repetition of their study could not fully escape from. (Notice that only some of the concerns that Ioannidis expresses in his 2005 paper apply to Ambady's work, and that the suggestion to use larger studies is silly for a PhD undertaking altogether.)

Wednesday, April 20, 2016

On estimation of confounders

I came to this paper on controlling for statistical confounders via Scott Alexander's Slate Star Codex website, which covers statistical topics.

Westfall and Yarkoni remind us that we use proxies to estimate the true latent constructs, e.g. a "specific survey item asking about respondents’ income bracket" to estimate "socioeconomic status". Thus, statistical arguments cannot easily control for the potentially confounding latent construct, but only for a measure of that construct, which has its own error brackets.

At the root of the problem lies the insight countervening conventional wisdom that 
The relationship between n and Type 1 error may be less obvious: all else equal, as sample size increases, error rates also increase.
The problem is exacerbated by the way reliability interacts with error rates, giving a non-monotonic relationship.
In the middle [of the reliability range, RCK], however, there exists a territory where effects are large enough to afford detection, but reliability is too low to prevent misattribution, leading to particularly high Type 1 error rates.
Furthermore, this problem is independent of the statistical analysis approach used (frequentist vs Bayesian, parameter estimation) as long as reliability is not explicitly accounted for.

Indeed, somehow getting a grip on the reliability is the core of the problem. But that is easier said than done. Westfall and Yarkoni point out that
econometric studies attempting to control for SES [i.e. socioeconomic status, cf. above, RCK] hardly ever estimate or report the reliability of the actual survey item(s) used to operationalize the SES construct ....
This is why Westfall and Yarkoni recommend structural equation modeling (SEM) in order to avoid the trap altogether. Lacking any estimations for the reliability, the researchers can then at least plot their results across a range of estimates to see how sensitive their findings are on reliability.

Bibliographic Record:
Westfall J, Yarkoni T (2016) Statistically Controlling for Confounding Constructs Is Harder than You Think. PLoS ONE 11(3): e0152719. doi:10.1371/journal.pone.0152719

Monday, May 19, 2014

Palmyra population and Scanned US Census returns

The claim is made here that Palmyra's population had risen from 2187 in 1816 to 3124 in 1820 and 4613 by 1825. As usual, there is no reference to any source ... so we need to verify this ourselves.

First of all, it is unclear where the 1816 and the 1825 numbers are from; the census years were 1810, 1820 and 1830. But where to get these US census infos at the city level? Well, just this morning, I discovered that the Internet archive provides the census returns for all of the locales of upstate New York for the early years.

The executive summary is as follows:
  • 1810: 2189
  • 1820: 3734
  • 1830: 5155
But how to arrive at these values?

Discussion

The basic entry point into the census collection is here.

For the Census of 1810, the total of 2189 can be computed from the breakdowns for Palmyra given on page 232/284 (folio #802) on the Oneide & Ontario County roll (33). (Unfortunately, that page gives no column headers, so we use anonymous categories cat1-5.)

Caucasians:
        _____________MEN______________,  __________WOMEN_____________
Town,     cat1, cat2, cat3, cat4, cat5,  cat1, cat2, cat3, cat4, cat5
Palmyra,   429,  202,  168,  222,  104,   428,  176,  177,  198,   75

People of Color:
8 males + 2 females = 10 people.

For example, for Palmyra the population total can be seen on page 19/203 of the Ontario County, New York roll (62) for the Census of 1820: 3734 total. This total derives from the following breakdowns.

Caucasians:
        _________________MEN__________________,  ____________WOMEN______________ 
Town,   to 10, to 16, 16-18, 16-26, to 45, 45+,  to 10, to 16, to 26, to 45, 45+ 
Palmyra,  634,   265,    79,   444,   362, 208,    560,   308,   383,   333, 181   

People of Color:
        __________MEN___________, _________WOMEN__________ 
Town,   to 14, to 26, to 45, 45+, to 14, to 36, to 45, 45+
Palmyra,   12,     3,     3,   5,    10,     6,     5,   2

There were no slaves recorded in the census for Ontario county.

Our anonymous source gave 3124, we have 3734 from the census (which looks suspiciously like a transcription error, 1 for 7 and 2 for 3 ...), so we are probably on the right track.

A decade later, the Palmyra population total can be seen on page 115/682 of the Wayne County, New York roll (117) for the Census of 1830: 3276 total. This total derives from the following breakdowns.

WHITE  , ______________________________________MALE______________________________________________
Town,    LT 5, LT 10, LT 15, LT 20, LT 30, LT 40, LT 50, LT 60, LT 70, LT 80, LT 90, LT 100, 100+
Palmyra,  249,   223,   199,   212,   402,   237,    88,    60,    50,    17,     1,      1,    0

WHITE  , _____________________________________FEMALE_____________________________________________
Town,    LT 5, LT 10, LT 15, LT 20, LT 30, LT 40, LT 50, LT 60, LT 70, LT 80, LT 90, LT 100, 100+
Palmyra,  302,   211,   212,   190,   308,   197,   120,    54,    35,    12,     1,      1,    0


COLOR  , _________________MALE___________________
Town,    LT 10, LT 24, LT 36, LT 55, LT 100, 100+
Palmyra,    20,     8,    11,     4,      1,    0

COLOR  , ________________FEMALE__________________
Town,    LT 10, LT 24, LT 36, LT 55, LT 100, 100+
Palmyra,    12,    13,     8,     4,      1,    0

Town,    Total
Palmyra,  3276

At first glance, this result is confusing. We had expected a population of 4613 by 1825, but we are about 1200 people below that value. Furthermore, the 1830 census for Palmyra is lower than the 1820 one ...? (Notice that Fawn Brodie seems to have made that mistake too.)

The solution seems to be that Palmyra was split into Palmyra and Macedon, when Wayne County was lopped off from Ontario County by the special act of NY State Legislature on January 28,1823. Indeed, in the 1830 census, Macedon is listed as a separate township. Thus, in order to obtain an apples-to-apples comparison between the 1820 Palmyra Township and the 1830 Palmyra Township, we need to add in the results from the 1830 Macedon Township, since that was the political entity that corresponds to the formerly Western part of the 1820 Palmyra Township.

WHITE  , ______________________________________MALE______________________________________________
Town,    LT 5, LT 10, LT 15, LT 20, LT 30, LT 40, LT 50, LT 60, LT 70, LT 80, LT 90, LT 100, 100+
Palmyra,  249,   223,   199,   212,   402,   237,    88,    60,    50,    17,     1,      1,    0
Macedon,  159,   141,   196,   132,   186,    99,    76,    49,    26,    16,     2,      0,    0

WHITE  , _____________________________________FEMALE_____________________________________________
Town,    LT 5, LT 10, LT 15, LT 20, LT 30, LT 40, LT 50, LT 60, LT 70, LT 80, LT 90, LT 100, 100+
Palmyra,  302,   211,   212,   190,   308,   197,   120,    54,    35,    12,     1,      1,    0
Macedon,  156,   130,   132,   119,   189,   98,     65,    46,    35,    12,     2,      0,    0


COLOR  , _________________MALE___________________
Town,    LT 10, LT 24, LT 36, LT 55, LT 100, 100+
Palmyra,    20,     8,    11,     4,      1,    0
Macedon,     1,     3,     2,     1,      3,    0

COLOR  , ________________FEMALE__________________
Town,    LT 10, LT 24, LT 36, LT 55, LT 100, 100+
Palmyra,    12,    13,     8,     4,      1,    0
Macedon,     1,     3,     0,     1,      0,    0

Town,    Total
Palmyra,  3276
Macedon,  1879 
Overall,  5155