Bivate Regressions - Updated

Bivariate MTurk Skin-tone Regressions

We now consider a set of regression of skin-tone and it’s categories on our release outcome. These regression include:

All skin-tone labels
Three categories based on skin-tone into dark, medium, and light skin tones
The race label with categories (Asian, Black, White, Indian, Unsure, Other)

We find that:

On the combined sample nothing is significant in all three regressions
The male subsample is also without any significant effect
Controlling for females we see that skin_tone_cat_light is highly significant with -0.058
- Suggests that for females light-skinned individuals have a worse predicted outcome than dark_skinned individuals

Combined Male-Female

**Multihead(ResNet50)**

	Dependent variable:

	Release Outcome
	(1)	(2)	(3)

skin_tonenumber_623a17	0.005
	(-0.032, 0.043)

skin_tonenumber_76441f	0.010
	(-0.036, 0.056)

skin_tonenumber_80492a	0.014
	(-0.027, 0.054)

skin_tonenumber_885633	0.061^**
	(0.012, 0.110)

skin_tonenumber_94623d	0.014
	(-0.033, 0.062)

skin_tonenumber_ab8b64	0.015
	(-0.028, 0.058)

skin_tonenumber_b26949	0.038
	(-0.020, 0.096)

skin_tonenumber_cb9662	0.065^**
	(0.017, 0.112)

skin_tonenumber_d09e7d	0.052
	(-0.003, 0.107)

skin_tonenumber_e7bc91	0.026
	(-0.041, 0.093)

skin_tonenumber_e9cba7	0.003
	(-0.062, 0.068)

skin_tonenumber_ecc083	0.007
	(-0.043, 0.057)

skin_tonenumber_eed0b8	0.047^*
	(0.002, 0.091)

skin_tonenumber_efc088	-0.045
	(-0.121, 0.031)

skin_tonenumber_efc794	-0.008
	(-0.062, 0.046)

skin_tonenumber_f6e1aa	0.047^*
	(0.003, 0.090)

skin_tonenumber_f7ddc4	0.031
	(-0.009, 0.071)

skin_tone_cat_light_skin		0.008
		(-0.010, 0.027)

skin_tone_cat_medium_skin		0.020
		(-0.002, 0.042)

race_mturkblack			0.003
			(-0.030, 0.036)

race_mturkcaucasian			0.008
			(-0.026, 0.043)

race_mturkhispanic			0.019
			(-0.024, 0.061)

race_mturkindian			0.017
			(-0.061, 0.096)

race_mturkother			0.030
			(-0.067, 0.128)

race_mturkunsure			-0.088
			(-0.178, 0.003)

Constant	0.742^***	0.757^***	0.759^***
	(0.712, 0.772)	(0.745, 0.770)	(0.728, 0.790)


Observations	7,318	7,318	7,318
Adjusted R²	0.0004	0.00004	-0.0002
F Statistic	1.170 (df = 17; 7300)	1.134 (df = 2; 7315)	0.722 (df = 6; 7311)

Note:	p<0.1; p<0.05; p<0.01

Coefficient Plot - Regression 1 - Combined

Coefficient Plot - Regression 2 - Combined

Coefficient Plot - Regression 3 - Combined

Subsample Female

**Multihead(ResNet50)**

	Dependent variable:

	Release Outcome
	(1)	(2)	(3)

skin_tonenumber_623a17	0.033
	(-0.055, 0.121)

skin_tonenumber_76441f	0.010
	(-0.095, 0.115)

skin_tonenumber_80492a	0.091
	(-0.00000, 0.183)

skin_tonenumber_885633	0.103
	(-0.003, 0.208)

skin_tonenumber_94623d	0.047
	(-0.050, 0.144)

skin_tonenumber_ab8b64	0.061
	(-0.031, 0.153)

skin_tonenumber_b26949	0.131^*
	(0.009, 0.252)

skin_tonenumber_cb9662	0.072
	(-0.024, 0.169)

skin_tonenumber_d09e7d	-0.024
	(-0.136, 0.089)

skin_tonenumber_e7bc91	0.111
	(-0.007, 0.229)

skin_tonenumber_e9cba7	-0.030
	(-0.147, 0.087)

skin_tonenumber_ecc083	0.055
	(-0.045, 0.154)

skin_tonenumber_eed0b8	0.008
	(-0.082, 0.098)

skin_tonenumber_efc088	-0.009
	(-0.138, 0.120)

skin_tonenumber_efc794	-0.036
	(-0.142, 0.071)

skin_tonenumber_f6e1aa	0.001
	(-0.086, 0.088)

skin_tonenumber_f7ddc4	0.001
	(-0.082, 0.084)

skin_tone_cat_light_skin		-0.058^***
		(-0.092, -0.025)

skin_tone_cat_medium_skin		-0.004
		(-0.044, 0.037)

race_mturkblack			0.025
			(-0.032, 0.082)

race_mturkcaucasian			-0.039
			(-0.098, 0.019)

race_mturkhispanic			0.008
			(-0.063, 0.080)

race_mturkindian			-0.015
			(-0.193, 0.164)

race_mturkother			-0.015
			(-0.193, 0.164)

race_mturkunsure			0.069
			(-0.110, 0.247)

Constant	0.815^***	0.872^***	0.848^***
	(0.742, 0.889)	(0.848, 0.897)	(0.795, 0.901)


Observations	1,593	1,593	1,593
Adjusted R²	0.003	0.005	0.003
F Statistic	1.276 (df = 17; 1575)	4.866^*** (df = 2; 1590)	1.782^* (df = 6; 1586)

Note:	p<0.1; p<0.05; p<0.01

Coefficient Plot - Regression 1 - Female

Coefficient Plot - Regression 2 - Female

Coefficient Plot - Regression 3 - Female

Subsample Male

**Multihead(ResNet50)**

	Dependent variable:

	Release Outcome
	(1)	(2)	(3)

skin_tonenumber_623a17	-0.001
	(-0.042, 0.040)

skin_tonenumber_76441f	0.007
	(-0.045, 0.058)

skin_tonenumber_80492a	-0.008
	(-0.054, 0.037)

skin_tonenumber_885633	0.045
	(-0.010, 0.101)

skin_tonenumber_94623d	-0.009
	(-0.063, 0.046)

skin_tonenumber_ab8b64	-0.007
	(-0.055, 0.042)

skin_tonenumber_b26949	0.011
	(-0.055, 0.076)

skin_tonenumber_cb9662	0.049
	(-0.005, 0.104)

skin_tonenumber_d09e7d	0.063
	(-0.0004, 0.126)

skin_tonenumber_e7bc91	-0.031
	(-0.111, 0.050)

skin_tonenumber_e9cba7	-0.003
	(-0.080, 0.075)

skin_tonenumber_ecc083	-0.023
	(-0.081, 0.035)

skin_tonenumber_eed0b8	0.044
	(-0.007, 0.095)

skin_tonenumber_efc088	-0.085
	(-0.178, 0.009)

skin_tonenumber_efc794	-0.012
	(-0.074, 0.050)

skin_tonenumber_f6e1aa	0.045
	(-0.007, 0.096)

skin_tonenumber_f7ddc4	0.021
	(-0.025, 0.068)

skin_tone_cat_light_skin		0.016
		(-0.006, 0.037)

skin_tone_cat_medium_skin		0.016
		(-0.010, 0.042)

race_mturkblack			0.008
			(-0.031, 0.046)

race_mturkcaucasian			0.020
			(-0.022, 0.061)

race_mturkhispanic			0.019
			(-0.031, 0.070)

race_mturkindian			0.038
			(-0.050, 0.125)

race_mturkother			0.047
			(-0.066, 0.160)

race_mturkunsure			-0.113^*
			(-0.216, -0.009)

Constant	0.732^***	0.733^***	0.731^***
	(0.698, 0.765)	(0.719, 0.747)	(0.694, 0.767)


Observations	5,725	5,725	5,725
Adjusted R²	0.001	-0.00002	0.00002
F Statistic	1.174 (df = 17; 5707)	0.950 (df = 2; 5722)	1.015 (df = 6; 5718)

Note:	p<0.1; p<0.05; p<0.01

Coefficient Plot - Regression 1 - Male

Coefficient Plot - Regression 2 - Male

Coefficient Plot - Regression 3 - Combined