| Literature DB >> 34816303 |
Alfred A Chan1, Houmin Li2, Wendy Li3, Kathy Pan4, Jennifer K Yee5,6, Rowan T Chlebowski4, Delphine J Lee7,8,9.
Abstract
Small-scale studies offer conflicting evidence regarding the relationship/association between psoriasis and insulin resistance by HOMA-IR (homeostasis model assessment of insulin resistance). The purpose of this study was to assess the association between baseline HOMA-IR and psoriasis incidence in a large-scale longitudinal cohort of postmenopausal women. The analysis included 21,789 postmenopausal women from the Women's Health Initiative. Psoriasis diagnosis was defined by fee-for-service Medicare ICD-9-CM codes assigned by dermatologists or rheumatologists, and a 2-year lookback period to exclude prevalent cases. Baseline HOMA-IR was calculated using the updated HOMA2 model. Hazard rates from the Cox regression models were stratified by age (10-year intervals), on WHI component (Clinical Trial or Observational Study), and on randomization status within each of the WHI clinical trials. The complete model also adjusted for ethnicity, waist-hip-ratio, and smoking and alcohol habits. Among participants free of psoriasis at entry, those with high baseline HOMA-IR (≥ 2) compared to low (< 1.4) had significantly higher risk for psoriasis over 21-year cumulative follow-up (HR: 1.39, 95% CI 1.08-1.79, P-trend: 0.011). In postmenopausal women, higher baseline HOMA-IR levels were significantly associated with higher incidence of psoriasis over 21-year cumulative follow-up. Results from this time-to-event analysis indicate that insulin resistance can precede and is associated with an increased risk of psoriasis. Study is limited by Medicare diagnostic code accuracy and cohort age.Entities:
Keywords: Insulin resistance; Psoriasis
Mesh:
Substances:
Year: 2021 PMID: 34816303 PMCID: PMC9512862 DOI: 10.1007/s00403-021-02298-9
Source DB: PubMed Journal: Arch Dermatol Res ISSN: 0340-3696 Impact factor: 3.033
The distribution and risk of psoriasis by baseline demographic, personal habits, and medical history
| No psoriasis | Psoriasis | HR | |||
|---|---|---|---|---|---|
| Clinical Trials | |||||
| Estrogen-Alone Trial | |||||
| Not randomized | 11,549 (97.9%) | 250 (2.1%) | –- | ||
| Placebo | 2002 (97.4%) | 54 (2.6%) | Reference | 0.601 | |
| Treated | 2081 (97.7%) | 50 (2.3%) | 0.92 (0.63, 1.35) | 0.965 | |
| Estrogen + Progestin Trial | |||||
| Not randomized | 11,549 (97.9%) | 250 (2.1%) | –- | ||
| Placebo | 2764 (97.3%) | 76 (2.7%) | Reference | 0.904 | |
| Treated | 2901 (97.9%) | 62 (2.1%) | 0.79 (0.56, 1.10) | 0.165 | |
| Calcium Vitamin D Trial | |||||
| Not randomized | 14,046 (97.7%) | 332 (2.3%) | –- | ||
| Placebo | 3625 (98.0%) | 75 (2.0%) | Reference | ||
| Treated | 3626 (97.7%) | 85 (2.3%) | 1.12 (0.82, 1.53) | 0.473 | |
| Dietary Modification Trial | |||||
| Not randomized | 15,301 (97.7%) | 365 (2.3%) | –- | ||
| Placebo | 2416 (97.6%) | 59 (2.4%) | Reference | ||
| Treated | 3580 (98.1%) | 68 (1.9%) | 0.79 (0.56, 1.12) | 0.190 | |
| Demographics | |||||
| Age | |||||
| 50–59 | 5668 (98.9%) | 65 (1.1%) | Reference | ||
| 60–69 | 9972 (97.2%) | 283 (2.8%) | 1.18 (0.90, 1.56) | 0.234 | |
| 70–79 | 5657 (97.5%) | 144 (2.5%) | 0.84 (0.62, 1.13) | 0.253 | |
| Ethnicity | |||||
| Caucasian | 12,399 (97.2%) | 357 (2.8%) | Reference | ||
| Asian | 434 (98.0%) | 9 (2.0%) | 0.83 (0.43, 1.61) | 0.579 | |
| African-American | 6021 (98.6%) | 85 (1.4%) | 0.67 (0.53, 0.85) | 0.001 | |
| Hispanic | 1980 (98.3%) | 34 (1.7%) | 0.93 (0.65, 1.32) | 0.681 | |
| Other/unspecified | 449 (98.5%) | 7 (1.5%) | 0.76 (0.36, 1.60) | 0.466 | |
| Education | |||||
| Less than high school | 8048 (98.0%) | 166 (2.0%) | Reference | ||
| College | 7818 (97.7%) | 184 (2.3%) | 1.11 (0.90, 1.36) | 0.346 | |
| Higher | 5304 (97.5%) | 137 (2.5%) | 1.17 (0.93, 1.46) | 0.178 | |
| Type of Job | |||||
| Managerial/professional | 7567 (97.6%) | 187 (2.4%) | Reference | ||
| Technical/sales/admin | 5648 (98.0%) | 114 (2.0%) | 0.84 (0.67, 1.06) | 0.152 | |
| Service/labor | 4059 (97.8%) | 90 (2.2%) | 0.96 (0.75, 1.24) | 0.772 | |
| Homemaker only | 2076 (97.5%) | 54 (2.5%) | 1.02 (0.75, 1.38) | 0.910 | |
| Lifestyle Habits | |||||
| Alcohol | |||||
| Never | 2963 (98.4%) | 47 (1.6%) | Reference | ||
| Past drinker | 4829 (97.9%) | 106 (2.1%) | 1.45 (1.03, 2.04) | 0.034 | |
| Current drinker | 13,294 (97.5%) | 334 (2.5%) | 1.51 (1.12, 2.05) | 0.008 | |
| Smoking | |||||
| Never | 11,057 (98.2%) | 208 (1.8%) | Reference | ||
| Past smoker | 8294 (97.3%) | 231 (2.7%) | 1.52 (1.26, 1.83) | < 0.001 | |
| Current smoker | 1653 (97.3%) | 46 (2.7%) | 1.89 (1.38, 2.61) | < 0.001 | |
| Recreation Physical Activity | |||||
| (MET-hour) | ≥ 0 to < 2 | 1310 (96.8%) | 44 (3.2%) | Reference | |
| ≥ 2 to < 8 | 1147 (97.7%) | 27 (2.3%) | 0.70 (0.44, 1.14) | 0.150 | |
| ≥ 8 to < 18 | 1064 (98.2%) | 20 (1.8%) | 0.55 (0.32, 0.93) | 0.026 | |
| ≥ 18 | 3878 (97.7%) | 92 (2.3%) | 0.66 (0.46, 0.94) | 0.021 | |
| Anthropometric Measures | |||||
| Baseline Body Mass Index | |||||
| (kg/m2) | Normal (18.5–24.9) | 4663 (97.7%) | 112 (2.3%) | Reference | |
| Overweight (25.0–29.9) | 7321 (97.9%) | 158 (2.1%) | 0.94 (0.74, 1.20) | 0.606 | |
| Obese (≥ 30.0) | 8437 (97.6%) | 204 (2.4%) | 1.13 (0.90, 1.43) | 0.288 | |
| Baseline Waist to Hip Ratio | |||||
| Normal (< 0.800) | 7998 (98.0%) | 167 (2.0%) | Reference | ||
| Overweight (0.800–0.849) | 5592 (97.8%) | 126 (2.2%) | 1.09 (0.87, 1.38) | 0.458 | |
| Obese (≥ 0.850) | 7395 (97.4%) | 194 (2.6%) | 1.28 (1.04, 1.57) | 0.020 | |
| Hormone-Related Factors | |||||
| Estrogen-alone | |||||
| Never | 14,676 (97.9%) | 320 (2.1%) | Reference | ||
| Past | 3443 (97.3%) | 94 (2.7%) | 1.16 (0.92, 1.46) | 0.200 | |
| Current | 3164 (97.6%) | 78 (2.4%) | 1.26 (0.98, 1.61) | 0.068 | |
| Estrogen plus Progestin | |||||
| Never | 18,036 (97.7%) | 431 (2.3%) | Reference | ||
| Past | 1433 (97.9%) | 31 (2.1%) | 0.96 (0.67, 1.38) | 0.828 | |
| Current | 1822 (98.4%) | 30 (1.6%) | 0.82 (0.56, 1.18) | 0.285 | |
| Menstrual Cycle Regularity | |||||
| No | 1542 (97.4%) | 41 (2.6%) | Reference | ||
| Yes | 17,623 (97.7%) | 412 (2.3%) | 0.85 (0.61, 1.17) | 0.308 | |
| Sometimes irregular | 1959 (98.1%) | 37 (1.9%) | 0.70 (0.45, 1.09) | 0.116 | |
| Age at Menopause | |||||
| 45 or younger | 6289 (97.9%) | 138 (2.1%) | Reference | ||
| 46 to 49 | 6229 (97.8%) | 139 (2.2%) | 1.01 (0.80, 1.28) | 0.930 | |
| 50 to 51 | 2562 (97.6%) | 63 (2.4%) | 1.07 (0.79, 1.44) | 0.666 | |
| 52 or older | 4358 (97.6%) | 107 (2.4%) | 0.99 (0.77, 1.28) | 0.959 | |
| Parity | |||||
| Never pregnant | 2099 (98.0%) | 42 (2.0%) | Reference | ||
| 1 | 4656 (97.4%) | 126 (2.6%) | 1.29 (0.91, 1.83) | 0.152 | |
| 2 | 4783 (97.8%) | 108 (2.2%) | 1.04 (0.73, 1.49) | 0.830 | |
| 3 | 3262 (97.6%) | 81 (2.4%) | 1.12 (0.77, 1.63) | 0.542 | |
| 4 | 3932 (98.1%) | 76 (1.9%) | 0.91 (0.62, 1.32) | 0.616 | |
| 5 | 2403 (97.8%) | 54 (2.2%) | 1.05 (0.70, 1.57) | 0.827 | |
| Hysterectomy | |||||
| No | 11,714 (97.9%) | 254 (2.1%) | Reference | ||
| Yes | 9575 (97.6%) | 238 (2.4%) | 1.20 (1.00, 1.43) | 0.046 | |
| Medical History | |||||
| Diabetes | |||||
| No | 19,354 (97.7%) | 449 (2.3%) | Reference | ||
| Yes | 1925 (97.8%) | 43 (2.2%) | 1.05 (0.77, 1.43) | 0.773 | |
| Hypertension | |||||
| No | 12,279 (97.7%) | 295 (2.3%) | Reference | ||
| Yes | 8801 (97.8%) | 195 (2.2%) | 0.90 (0.75, 1.08) | 0.274 | |
| Cardiovascular Disease | |||||
| No | 16,446 (97.8%) | 363 (2.2%) | Reference | ||
| Yes | 3492 (97.4%) | 94 (2.6%) | 1.14 (0.91, 1.43) | 0.246 | |
| Stroke | |||||
| No | 20,970 (97.7%) | 486 (2.3%) | Reference | ||
| Yes | 323 (98.2%) | 6 (1.8%) | 0.89 (0.40, 1.99) | 0.773 | |
| Liver Disease Ever | |||||
| No | 20,819 (97.8%) | 478 (2.2%) | Reference | ||
| Yes | 476 (97.1%) | 14 (2.9%) | 1.29 (0.76, 2.20) | 0.341 | |
| Bleeding Problems Ever | |||||
| No | 20,783 (97.7%) | 479 (2.3%) | Reference | ||
| Yes | 499 (97.5%) | 13 (2.5%) | 1.16 (0.67, 2.01) | 0.602 | |
| History Skin Cancer | |||||
| No | 19,685 (97.9%) | 430 (2.1%) | Reference | ||
| Yes | 1583 (96.2%) | 62 (3.8%) | 1.44 (1.10, 1.88) | 0.007 | |
| Rheumatoid Arthritis Ever | |||||
| Other/do not know | 8918 (97.5%) | 228 (2.5%) | Reference | ||
| Yes | 1253 (97.1%) | 38 (2.9%) | 1.26 (0.89, 1.78) | 0.186 | |
The time-to-event analytic cohort consisted of 21,789 postmenopausal women. The table shows their baseline demographics, personal habits, and medical history by psoriasis incidence over the 21-years cumulative follow-up period. Hazard rates and 95% confidence intervals were stratified on age (10-year intervals), on WHI component (Clinical Trial or Observational Study), and on randomization status within each of the WHI clinical trials (Diet Modification, Hormone Therapy, Calcium and Vitamin-D Trial)
CI, confidence interval; HR, hazard ratio; MET, metabolic equivalent of task; HOMA-IR, homeostasis model assessment for insulin resistance
Baseline characteristics by HOMA-IR
| Low HOMA-IR | Moderate HOMA-IR | High HOMA-IR n (%) | |||
|---|---|---|---|---|---|
| Clinical trials | |||||
| Estrogen-Alone Trial | < 0.001 | ||||
| Not randomized | 7832 (66.4%) | 1977 (16.8%) | 1990 (16.9%) | ||
| Placebo | 1277 (59.9%) | 424 (19.9%) | 430 (20.2%) | ||
| Treated | 1263 (61.4%) | 367 (17.9%) | 426 (20.7%) | ||
| Estrogen + Progestin Trial | < 0.001 | ||||
| Not randomized | 7832 (66.4%) | 1977 (16.8%) | 1990 (16.9%) | ||
| Placebo | 2052 (72.3%) | 446 (15.7%) | 342 (12.0%) | ||
| Treated | 2060 (69.5%) | 487 (16.4%) | 416 (14.0%) | ||
| Calcium Vitamin D Trial | 0.496 | ||||
| Not randomized | 9579 (66.6%) | 2400 (16.7%) | 2399 (16.7%) | ||
| Placebo | 2439 (65.9%) | 649 (17.5%) | 612 (16.5%) | ||
| Treated | 2466 (66.5%) | 652 (17.6%) | 593 (16.0%) | ||
| Dietary Modification Trial | < 0.001 | ||||
| Not randomized | 10,834 (69.2%) | 2465 (15.7%) | 2367 (15.1%) | ||
| Placebo | 1506 (60.8%) | 503 (20.3%) | 466 (18.8%) | ||
| Treated | 2144 (58.8%) | 733 (20.1%) | 771 (21.1%) | ||
| Demographics | |||||
| Age | < 0.001 | ||||
| 50–59 | 3601 (62.8%) | 1027 (17.9%) | 1105 (19.3%) | ||
| 60–69 | 6707 (65.4%) | 1765 (17.2%) | 1783 (17.4%) | ||
| 70–79 | 4176 (72.0%) | 909 (15.7%) | 716 (12.3%) | ||
| Ethnicity | < 0.001 | ||||
| Caucasian | 9007 (70.6%) | 1929 (15.1%) | 1820 (14.3%) | ||
| Asian | 299 (67.5%) | 82 (18.5%) | 62 (14.0%) | ||
| African-American | 3573 (58.5%) | 1263 (20.7%) | 1270 (20.8%) | ||
| Hispanic | 1341 (66.6%) | 330 (16.4%) | 343 (17.0%) | ||
| Other/unspecified | 254 (55.7%) | 95 (20.8%) | 107 (23.5%) | ||
| Education | < 0.001 | ||||
| Less than high school | 4987 (60.7%) | 1576 (19.2%) | 1651 (20.1%) | ||
| College | 5437 (67.9%) | 1308 (16.3%) | 1257 (15.7%) | ||
| Higher | 3963 (72.8%) | 805 (14.8%) | 673 (12.4%) | ||
| Type of Job | < 0.001 | ||||
| Managerial/professional | 5435 (70.1%) | 1201 (15.5%) | 1118 (14.4%) | ||
| Technical/sales/admin | 3749 (65.1%) | 1055 (18.3%) | 958 (16.6%) | ||
| Service/labor | 2576 (62.1%) | 761 (18.3%) | 812 (19.6%) | ||
| Homemaker only | 1412 (66.3%) | 354 (16.6%) | 364 (17.1%) | ||
| Lifestyle Habits | |||||
| Alcohol | < 0.001 | ||||
| Never | 1837 (61.0%) | 541 (18.0%) | 632 (21.0%) | ||
| Past drinker | 2795 (56.6%) | 1021 (20.7%) | 1119 (22.7%) | ||
| Current drinker | 9721 (71.3%) | 2093 (15.4%) | 1814 (13.3%) | ||
| Smoking | 0.006 | ||||
| Never | 7554 (67.1%) | 1919 (17.0%) | 1792 (15.9%) | ||
| Past smoker | 5562 (65.2%) | 1476 (17.3%) | 1487 (17.4%) | ||
| Current smoker | 1166 (68.6%) | 259 (15.2%) | 274 (16.1%) | ||
| Recreation Physical Activity | < 0.001 | ||||
| (MET-hour) | ≥ 0 to < 2 | 848 (62.6%) | 225 (16.6%) | 281 (20.8%) | |
| ≥ 2 to < 8 | 702 (59.8%) | 223 (19.0%) | 249 (21.2%) | ||
| ≥ 8 to < 18 | 733 (67.6%) | 187 (17.3%) | 164 (15.1%) | ||
| ≥ 18 | 3017 (76.0%) | 509 (12.8%) | 444 (11.2%) | ||
| Anthropometric Measures | |||||
| Baseline Body Mass Index | < 0.001 | ||||
| (kg/m2) | Normal (18.5–24.9) | 4379 (91.7%) | 288 (6.0%) | 108 (2.3%) | |
| Overweight (25.0–29.9) | 5618 (75.1%) | 1126 (15.1%) | 735 (9.8%) | ||
| Obese (≥ 30.0) | 3847 (44.5%) | 2166 (25.1%) | 2628 (30.4%) | ||
| Baseline Waist to Hip Ratio | < 0.001 | ||||
| Normal (< 0.800) | 6869 (84.1%) | 798 (9.8%) | 498 (6.1%) | ||
| Overweight (0.800–0.849) | 3825 (66.9%) | 1068 (18.7%) | 825 (14.4%) | ||
| Obese (≥ 0.850) | 3574 (47.1%) | 1792 (23.6%) | 2223 (29.3%) | ||
| Hormone-Related Factors | |||||
| Estrogen-alone | < 0.001 | ||||
| Never | 9915 (66.1%) | 2541 (16.9%) | 2540 (16.9%) | ||
| Past | 2264 (64.0%) | 658 (18.6%) | 615 (17.4%) | ||
| Current | 2295 (70.8%) | 502 (15.5%) | 445 (13.7%) | ||
| Estrogen plus Progestin | < 0.001 | ||||
| Never | 11,966 (64.8%) | 3251 (17.6%) | 3250 (17.6%) | ||
| Past | 1051 (71.8%) | 215 (14.7%) | 198 (13.5%) | ||
| Current | 1461 (78.9%) | 235 (12.7%) | 156 (8.4%) | ||
| Menstrual Cycle Regularity | < 0.001 | ||||
| No | 990 (62.5%) | 272 (17.2%) | 321 (20.3%) | ||
| Yes | 12,069 (66.9%) | 3068 (17.0%) | 2898 (16.1%) | ||
| Sometimes irregular | 1306 (65.4%) | 335 (16.8%) | 355 (17.8%) | ||
| Age at Menopause | < 0.001 | ||||
| 45 or younger | 4021 (62.6%) | 1154 (18.0%) | 1252 (19.5%) | ||
| 46 to 49 | 4419 (69.4%) | 1001 (15.7%) | 948 (14.9%) | ||
| 50 to 51 | 1837 (70.0%) | 432 (16.5%) | 356 (13.6%) | ||
| 52 or older | 3067 (68.7%) | 743 (16.6%) | 655 (14.7%) | ||
| Parity | < 0.001 | ||||
| Never pregnant | 1403 (65.5%) | 371 (17.3%) | 367 (17.1%) | ||
| 1 | 3279 (68.6%) | 794 (16.6%) | 709 (14.8%) | ||
| 2 | 3339 (68.3%) | 806 (16.5%) | 746 (15.3%) | ||
| 3 | 2182 (65.3%) | 575 (17.2%) | 586 (17.5%) | ||
| 4 | 2439 (60.9%) | 746 (18.6%) | 823 (20.5%) | ||
| 5 | 1737 (70.7%) | 376 (15.3%) | 344 (14.0%) | ||
| Hysterectomy | < 0.001 | ||||
| No | 8367 (69.9%) | 1906 (15.9%) | 1695 (14.2%) | ||
| Yes | 6112 (62.3%) | 1793 (18.3%) | 1908 (19.4%) | ||
| Medical History | |||||
| Diabetes | < 0.001 | ||||
| No | 13,825 (69.8%) | 3280 (16.6%) | 2698 (13.6%) | ||
| Yes | 650 (33.0%) | 419 (21.3%) | 899 (45.7%) | ||
| Hypertension | < 0.001 | ||||
| No | 9365 (74.5%) | 1787 (14.2%) | 1422 (11.3%) | ||
| Yes | 4990 (55.5%) | 1882 (20.9%) | 2124 (23.6%) | ||
| Cardiovascular Disease | < 0.001 | ||||
| No | 11,382 (67.7%) | 2810 (16.7%) | 2617 (15.6%) | ||
| Yes | 2179 (60.8%) | 667 (18.6%) | 740 (20.6%) | ||
| Stroke | < 0.001 | ||||
| No | 14,316 (66.7%) | 3628 (16.9%) | 3512 (16.4%) | ||
| Yes | 164 (49.8%) | 73 (22.2%) | 92 (28.0%) | ||
| Liver Disease Ever | 0.008 | ||||
| No | 14,187 (66.6%) | 3610 (17.0%) | 3500 (16.4%) | ||
| Yes | 296 (60.4%) | 91 (18.6%) | 103 (21.0%) | ||
| Bleeding Problems Ever | 0.504 | ||||
| No | 14,142 (66.5%) | 3611 (17.0%) | 3509 (16.5%) | ||
| Yes | 330 (64.5%) | 88 (17.2%) | 94 (18.4%) | ||
| History Skin Cancer | < 0.001 | ||||
| No | 13,229 (65.8%) | 3474 (17.3%) | 3412 (17.0%) | ||
| Yes | 1230 (74.8%) | 226 (13.7%) | 189 (11.5%) | ||
| Rheumatoid Arthritis Ever | 0.010 | ||||
| Other/do not know | 5874 (64.2%) | 1638 (17.9%) | 1634 (17.9%) | ||
| Yes | 778 (60.3%) | 242 (18.7%) | 271 (21.0%) | ||
The time-to-event analytic cohort consisted of 21,789 postmenopausal women. The table shows their baseline demographics, personal habits, and medical history by baseline HOMA-IR. The degree of insulin resistance was categorized as defined by previous studies: Low (HOMA-IR < 1.4), Moderate (1.4 ≤ HOMA-IR < 2.0), and High (HOMA-IR ≥ 2.0) (18–20). Differences in baseline characteristics among HOMA-IR categories were assessed using chi-square tests
CI, confidence interval; HR, hazard ratio; MET, metabolic equivalent of task; HOMA-IR, homeostasis model assessment for insulin resistance
Fig. 1Psoriasis Time-to-Event analysis by HOMA-IR. Table shows psoriasis distribution by HOMA-IR and the resulting hazard ratios (HR’s) and confidence intervals (CI’s) from cox-regression analysis: unadjusted, age adjusted, and the complete model. The hazard rates from the complete model were stratified on age (10-year intervals), on WHI component (Clinical or Observational Study), and on randomization status within each of the WHI clinical trials (Diet Modification, Hormone Therapy, Calcium and Vitamin-D Trial). In addition, the following baseline characteristics were included in the complete model: ethnicity (Caucasian, Asian, African-American, Hispanic, Other/Unspecified), continuous waist–hip-ratio, smoking (non-smoker, past-smoker, current-smoker), and alcohol habits (non-drinker, past-drinker, current drinker). The forest plot to the right of the table reflects the hazard ratios from the complete model and show that “high HOMA-IR” group had higher risk for psoriasis compared to the “low HOMA-IR” group
Fig. 2Psoriasis partial hazard (y-axis) by HOMA-IR (x-axis) as a continuous variable. The red line and the 95% confidence interval (blue shading) were predicted using a spline term on HOMA-IR with four degrees of freedom. The histogram at the bottom shows the distribution of HOMA-IR within the analytic cohort. Degree of insulin resistance was categorized as defined by previous studies: Low (HOMA-IR < 1.4), Moderate (1.4 ≤ HOMA-IR < 2.0), and High (HOMA-IR ≥ 2.0) [18–20]
Fig. 3Psoriasis Cumulative Hazard Curve by HOMA-IR among non-smoking women. Over the 21-year follow-up period (x-axis), the psoriasis cumulative hazard (y-axis) was steadily and consistently higher in the High HOMA-IR group (Blue) compared to the Low HOMA-IR group (Red) among non-smoking women. The respective colored shading represents the 95% confidence interval