| Literature DB >> 35010476 |
Chu-Shiu Li1, Chih-Jen Hung2,3, Sheng-Chang Peng4, Ya-Lee Ho5.
Abstract
In this paper, the impact of both gender and age on the claim rates of dread disease and cancer insurance policies were examined using unique data taken from Taiwan's private health insurance policies issued by non-life insurers during the 2012 to 2015 policy years. Those aged 30-39 served as the reference group. For the total number of dread disease policies, male insureds had a higher non-cancer claim probability than female insureds, while an age under 20 was associated with much lower claim rates for dread disease policies than for ages over 50. The claim rate for dread disease policies increased rapidly beginning at age 40 for both cancerous and non-cancerous diseases amongst male insureds. Amongst female insureds, those under 20 had much lower claim rates for dread disease policies. Only those aged 50-59 had a higher claim rate for non-cancerous diseases. For the total number of cancer insurance policies, male insureds had lower claim rates than female insureds, with an upward trend being associated with age. For male (female) insureds aged over 40 (20), the claim rates of cancer increased with age.Entities:
Keywords: Taiwan; cancer insurance; claim rate; dread disease insurance; non-life insurance
Mesh:
Year: 2021 PMID: 35010476 PMCID: PMC8750668 DOI: 10.3390/ijerph19010216
Source DB: PubMed Journal: Int J Environ Res Public Health ISSN: 1660-4601 Impact factor: 3.390
Descriptive statistics of dread disease insurance and cancer insurance variables.
| (1) Dread Disease Insurance | (2) Cancer Insurance | (3) | |||
|---|---|---|---|---|---|
| Mean | SD | Mean | SD | ||
| Claim rate (%) | 0.002 | 0.040 | 0.003 | 0.054 | <0.001 ***b |
| Average claim costs (NT$) | 626.553 | 20,775.294 | 1967.167 | 45,489.194 | <0.001 ***a |
| Male | 0.494 | 0.500 | 0.520 | 0.500 | <0.001 ***a |
| Age (mean) | 25.834 | 17.393 | 40.633 | 15.952 | |
| Age | <0.001 ***b | ||||
| <20 | 0.436 | 0.496 | 0.129 | 0.336 | |
| 20–29 | 0.126 | 0.332 | 0.093 | 0.291 | |
| 30–39 | 0.189 | 0.391 | 0.200 | 0.400 | |
| 40–49 | 0.147 | 0.354 | 0.257 | 0.437 | |
| 50–59 | 0.077 | 0.266 | 0.202 | 0.401 | |
| ≥60 | 0.026 | 0.160 | 0.118 | 0.323 | |
| Main contract | 0.740 | 0.438 | 0.980 | 0.139 | <0.001 ***b |
| Big three insurers | 0.663 | 0.473 | 0.821 | 0.383 | <0.001 ***b |
| Distribution channel | <0.001 ***b | ||||
| Direct writer system | 0.349 | 0.477 | 0.307 | 0.461 | |
| Agent system | 0.348 | 0.476 | 0.490 | 0.500 | |
| Broker system | 0.302 | 0.459 | 0.203 | 0.402 | |
| Direct response system | 0.001 | 0.028 | 0.000 | 0.014 | |
| Premium | 1847.217 | 3785.144 | 5609.457 | 8392.151 | <0.001 ***a |
| Insured amount (NT$) | 610,974.027 | 378,175.740 | 1,148,999.186 | 759,483.732 | <0.001 ***a |
| Waiting period | <0.001 ***a | ||||
| 30 days | 0.892 | 0.311 | 0.131 | 0.338 | |
| 60 days | 0.089 | 0.285 | 0.016 | 0.127 | |
| 90 days | 0.019 | 0.137 | 0.852 | 0.355 | |
| Year | <0.001 ***a | ||||
| 2012 | 0.261 | 0.439 | 0.181 | 0.385 | |
| 2013 | 0.260 | 0.439 | 0.222 | 0.416 | |
| 2014 | 0.249 | 0.432 | 0.277 | 0.447 | |
| 2015 | 0.230 | 0.421 | 0.320 | 0.467 | |
Note: a t-test; b Chi-square test; *** p < 0.01.
Descriptive statistics of claim vs. non-claim policy variables.
| (1) Claim Policy | (2) Non-Claim Policy | (3) | |||
|---|---|---|---|---|---|
| Mean | SD | Mean | SD | (1) vs. (2) | |
| Panel A: Dread disease insurance (N = 90,901) | |||||
| Average claim costs (NT$) | 382,243.470 | 343,854.274 | |||
| Male | 0.510 | 0.502 | 0.494 | 0.500 | 0.695 b |
| Age (mean) | 47.738 | 12.927 | 25.798 | 17.377 | <0.001 ***,b |
| Age | <0.001 ***,b | ||||
| <20 | 0.047 | 0.212 | 0.436 | 0.496 | |
| 20–29 | 0.040 | 0.197 | 0.126 | 0.332 | |
| 30–39 | 0.087 | 0.283 | 0.189 | 0.391 | |
| 40–49 | 0.356 | 0.480 | 0.146 | 0.353 | |
| 50–59 | 0.315 | 0.466 | 0.076 | 0.266 | |
| ≥60 | 0.154 | 0.363 | 0.026 | 0.159 | |
| Illness type c | |||||
| Cancer | 0.711 | 0.455 | |||
| Circulatory system | 0.107 | 0.311 | |||
| Others | 0.181 | 0.386 | |||
| Distribution channel | 0.017 **,b | ||||
| Direct writer system | 0.342 | 0.476 | 0.349 | 0.477 | |
| Agent system | 0.409 | 0.493 | 0.348 | 0.476 | |
| Broker system | 0.242 | 0.430 | 0.302 | 0.459 | |
| Direct response system | 0.007 | 0.082 | 0.001 | 0.028 | |
| Premium | 4757.544 | 5490.674 | 1842.438 | 3779.913 | <0.001 ***,a |
| Insured amount (NT$) | 565,771.812 | 39,4261.508 | 611,048.241 | 37,8146.589 | 0.163 a |
| N | 149 | 90,752 | |||
| Panel B: Cancer insurance (N = 235,747) | |||||
| Average claim costs (NT$) | 675,041.920 | 506,057.174 | |||
| Male | 0.493 | 0.500 | 0.520 | 0.500 | 0.167 b |
| Age (mean) | 55.237 | 9.710 | 40.590 | 15.947 | <0.001 ***,a |
| Age | <0.001 ***,b | ||||
| <20 | 0.003 | 0.054 | 0.130 | 0.336 | |
| 20–29 | 0.006 | 0.076 | 0.093 | 0.291 | |
| 30–39 | 0.051 | 0.220 | 0.200 | 0.400 | |
| 40–49 | 0.188 | 0.391 | 0.258 | 0.437 | |
| 50–59 | 0.380 | 0.486 | 0.201 | 0.401 | |
| ≥60 | 0.373 | 0.484 | 0.117 | 0.322 | |
| Distribution channel | |||||
| Direct writer system | 0.330 | 0.471 | 0.307 | 0.461 | <0.001 ***,b |
| Agent system | 0.595 | 0.491 | 0.489 | 0.500 | |
| Broker system | 0.074 | 0.262 | 0.203 | 0.402 | |
| Direct response system | 0.000 | 0.000 | 0.000 | 0.014 | |
| Premium | 10,598.603 | 11,377.412 | 5594.876 | 8377.547 | <0.001 ***,a |
| Insured amount (NT$) | 846,746.143 | 713,117.862 | 1,149,242.518 | 759,434.562 | <0.001 ***,a |
| N | 687 | 235,060 | |||
Note: a t-test. b Chi-square test. c In addition to cancers, dread diseases include those of the circulatory system (such as AMI, other cardiovascular diseases, brain, stroke and hemorrhage), along with others such as kidney disease and other causes. ** p < 0.05, *** p < 0.01.
Figure 1Claim rates of different age groups for dread disease and cancer insurance policies by gender (Claim rate = # of claims for each age group/# of insurance policies for each age group). (a) Claim rates of total insureds; (b) claim rates of male insureds; (c) claim rates of female insureds.
Adjusted odds ratios (ORs) of logistic regressions for dread disease insurance.
| Total (NDT = 90,901) | Male (NDM = 44,861) | Female (NDF = 45,992) | ||||
|---|---|---|---|---|---|---|
| Adjusted OR | 95% CI | Adjusted OR | 95% CI | Adjusted OR | 95% CI | |
| Panel A: Dependent variable = Claim occurrence | ||||||
| Male | 1.089 | [0.788, 1.505] | ||||
| Age (Ref = 30–39) | ||||||
| <20 | 0.188 | [0.074, 0.476] | 1.414 | [0.156, 12.801] | 0.086 *** | [0.024, 0.308] |
| 20–29 | 0.639 | [0.242, 1.686] | 3.058 | [0.277, 33.812] | 0.424 | [0.136, 1.324] |
| 40–49 | 5.445 *** | [2.959, 10.017] | 38.628 *** | [5.255, 283.917] | 2.637 *** | [1.308, 5.316] |
| 50–59 | 9.633 *** | [5.157, 17.995] | 71.509 *** | [9.648, 529.999] | 4.336 *** | [2.085, 9.019] |
| ≥60 | 13.729 *** | [6.726, 28.024] | 92.720 *** | [11.867, 724.414] | 7.577 *** | [3.125, 18.372] |
| Pseudo | 0.1209 | 0.1671 | 0.1080 | |||
| LR chi2 | 267.15 | 187.45 | 117.43 | |||
| P > chi2 | 0.0000 | 0.0000 | 0.0000 | |||
| Log likelihood | −970.929 | −467.136 | −484.766 | |||
| Panel B: Dependent variable = Cancer claim occurrence | ||||||
| Male | 0.823 | [0.56,1.211] | ||||
| Age (Ref = 30–39) | ||||||
| <20 | 0.142 *** | [0.045,0.453] | 0.938 | [0.084,10.496] | 0.070 ** | [0.015,0.325] |
| 20–29 | 0.372 | [0.103,1.339] | 2.994 | [0.270,33.167] | 0.130 * | [0.017,1.024] |
| 40–49 | 4.456 *** | [2.265,8.770] | 19.012 *** | [2.494,144.919] | 2.943 *** | [1.389,6.235] |
| 50–59 | 7.334 *** | [3.634,14.802] | 43.969 *** | [5.765,335.344] | 3.522 *** | [1.537,8.069] |
| ≥60 | 12.103 *** | [5.550,26.394] | 60.033 *** | [7.484,481.562] | 7.844 *** | [3.032,20.293] |
| Pseudo | 0.1273 | 0.1867 | 0.1209 | |||
| LR chi2 | 209.33 | 137.94 | 109.25 | |||
| P > chi2 | 0.0000 | 0.0000 | 0.0000 | |||
| Log likelihood | −717.207 | −300.481 | −397.197 | |||
| Panel C: Dependent variable = Non-cancer claim occurrence | ||||||
| Male | 2.212 ** | [1.165, 4.199] | ||||
| Age (Ref = 30–39) | ||||||
| <20 | 0.436 | [0.072, 2.658] | 0.296 | [0.041, 2.155] | 0.160 | [0.014, 1.802] |
| 20–29 | 2.174 | [0.361, 13.08] | 1.743 | [0.287, 10.594] | ||
| 40–49 | 10.534 *** | [2.415, 45.949] | 10.26 *** | [2.342, 44.938] | 0.751 | [0.067, 8.42] |
| 50–59 | 23.18 *** | [5.271, 101.947] | 15.651 *** | [3.390, 72.261] | 8.89 *** | [1.724, 45.843] |
| ≥60 | 20.198 *** | [3.287, 124.116] | 5.420 | [0.440, 66.841] | ||
| Pseudo | 0.1436 | 0.1591 | 0.1310 | |||
| LR chi2 | 106.89 | 75.83 | 33.29 | |||
| P > chi2 | 0.0000 | 0.0000 | 0.0026 | |||
| Log likelihood | −318.734 | −200.369 | −110.424 | |||
Note: (1) Regressions were controlled by other variables, including Constant, Distribution channel, Insured amount, Main contract, Big three insurers, Waiting period and Policy year. (2) In Panels A and B, Stata deleted the variable of the Direct response system due to collinearity when running the regression of male data, thus 48 male observations were not included. (3) In Panel C of total data, Stata deleted the variable of the Direct response system due to collinearity when running the regression, thus 70 observations were not included. (4) In Panel C of male data, Stata deleted the variables of age 20–29, age ≥ 60, Direct response system and Waiting period of 90 days due to collinearity when running the regression, thus 5397 male observations were not included. (5) In Panel C of female data, Stata deleted the variables of the Direct response system and Waiting period of 90 days due to collinearity when running the regression, thus 937 female observations were not included. (6) After the treatment of collinearity, the variance inflation factor (VIF) for all the independent variables in all models was less than 10. Adjusted OR refers to odds ratio; 95% CI refers to 95% confidence intervals. * p < 0.10, ** p < 0.05, *** p < 0.01.
Adjusted odds ratios (ORs) of logistic regressions for cancer insurance.
| Total (NCT = 235,699) | Male (NCM = 122,465) | Female (NCF = 98,304) | ||||
|---|---|---|---|---|---|---|
| Adjusted OR | 95% CI | Adjusted OR | 95% CI | Adjusted OR | 95% CI | |
| Male | 0.716 *** | [0.615, 0.833] | ||||
| Age (Ref = 30–39) | ||||||
| <20 | 0.160 *** | [0.049, 0.522] | 0.705 | [0.18,2.755] | ||
| 20–29 | 0.251 *** | [0.089, 0.705] | 0.924 | [0.239,3.579] | 0.079 ** | [0.011,0.579] |
| 40–49 | 2.927 *** | [2.013, 4.256] | 4.838 *** | [2.183,10.724] | 2.505 *** | [1.63,3.849] |
| 50–59 | 7.547 *** | [5.293, 10.762] | 14.586 *** | [6.775,31.4] | 5.805 *** | [3.868,8.712] |
| ≥60 | 12.936 *** | [9.031, 18.53] | 34.229 *** | [15.926,73.569] | 7.596 *** | [4.98,11.587] |
| Pseudo R2 | 0.079 | 0.0931 | 0.0538 | |||
| LR chi2 | 742.47 | 395.12 | 270.12 | |||
| P > chi2 | 0.0000 | 0.0000 | 0.0000 | |||
| Log likelihood | −4325.4522 | −1923.6253 | −2377.5382 | |||
Note: (1) Regressions were controlled by other variables, including Constant, Distribution channel, Insured amount, Main contract, Big three insurers, Waiting period and Policy year. (2) In the total (male) data, for collinearity, Stata deleted the variables of the Direct response system and waiting period, thus 48 (24) observations were not included. (3) In the female, for collinearity, Stata deleted the variables of age <20, Direct response system and Waiting period due to collinearity, thus 14,954 female observations were not included. (4) After the treatment of collinearity, the variance inflation factor (VIF) for all the independent variables in all models was less than 10. Adjusted OR refers to odds ratio; 95% CI refers to 95% confidence intervals. ** p < 0.05, *** p < 0.01.