| Literature DB >> 31440086 |
Rezwanul Hasan Rana1,2, Khorshed Alam1,2, Jeff Gow1,3, Nicholas Ralph4,5,6.
Abstract
OBJECTIVE: The purpose of this study is to measure health care utilization in Australian cancer patients based on their demographic, geographic and socioeconomic backgrounds.Entities:
Keywords: HILDA; cancer; health care utilization; inequality; primary preventive care; psychological distress
Year: 2019 PMID: 31440086 PMCID: PMC6664209 DOI: 10.2147/CMAR.S193615
Source DB: PubMed Journal: Cancer Manag Res ISSN: 1179-1322 Impact factor: 3.989
Demographic characteristics of Household, Income and Labour Dynamics in Australia survey participants (%)
| Variables | No cancer | Cancer | Variables | No cancer | Cancer |
|---|---|---|---|---|---|
| N=7342 | N=517 | N=6713 | N=517 | ||
| Major city | 59.8 | 61.7 | Q1 Bottom quartile | 38.9 | 51.6 |
| Inner regional | 26.5 | 24.8 | Q2 Second quartile | 22.8 | 15.9 |
| Outer regional | 12.2 | 12.0 | Q3 Third quartile | 19.3 | 15.1 |
| Remote, very remote | 1.3 | 1.4 | Q4 Top quartile | 19.0 | 17.4 |
| N=7342 | N=512 | N=7342 | N=517 | ||
| Born in Australia | 77.4 | 81.1 | |||
| Foreign born | 22.6 | 18.9 | Yes | 53.1 | 58.4 |
| N=7342 | N=517 | N=7342 | N=517 | ||
| 19–44 | 33.8 | 11.0 | Married | 49.3 | 58.6 |
| 45–64 | 38.6 | 40.2 | N=6713 | N=517 | |
| 65 or more | 27.6 | 48.7 | Urban | 83.9 | 85.1 |
| N=7342 | N=517 | N=6713 | N=517 | ||
| ≤ High school | 50.9 | 56.3 | Female | 57.3 | 43.3 |
| > High school | 49.1 | 43.7 | N=6497 | N=460 | |
| N=6494 | N=461 | Excellent | 4.8 | 4.3 | |
| Very good | 27.1 | 19.3 | |||
| Low | 56.1 | 63.3 | Good | 40.4 | 36.7 |
| Moderate | 21.8 | 19.3 | Fair | 22.3 | 26.7 |
| High | 13.4 | 10.8 | Poor | 5.4 | 12.8 |
| Very high | 8.7 | 6.5 | N=7340 | N=517 | |
| N=5765 | N=483 | <18.5 | 16.9 | 14.7 | |
| Psychiatrist | 17.8 | 6.4 | 18.5–24.9 | 26.0 | 29.8 |
| Specialist doctor | 50.7 | 80.5 | 25–29.9 | 30.3 | 30.6 |
| Hospital doctor | 29.9 | 42.7 | ≤30 | 26.8 | 25.0 |
| N=6343 | N=493 | N=5765 | N=483 | ||
| Pap smear | 21.7 | 14.8 | |||
| Breast screening | 18.2 | 21.3 | Podiatrist | 19.4 | 22.8 |
| Prostate check | 13.8 | 30.2 | Chiropractor | 15.3 | 12.0 |
| Bowel cancer | 16.8 | 31.2 | Physiotherapist | 21.9 | 19.7 |
| X-rays | 28.1 | 42.4 | Optometrist | 44.2 | 45.8 |
| Cholesterol test | 58 | 63.5 | Community nurse | 6.3 | 8.9 |
| Blood test | 69 | 81.7 | Other Allied health | 9.1 | 7.2 |
| Blood pressure | 83.2 | 85.6 | Provider |
Notes: N= number of respondents who answered the corresponding question in Wave 13. *If the N of cancer and no cancer respondents are not equal to 7859 (number of respondents who answered the question “Diagnosed with cancer”), there are missing values, either due to non-response or not asked. Q1 indicates bottom quartile, annual income $54,028 or less; Q2 is second quartile, annual income $54,029 to $85,929; Q3 is third quartile, annual income 85,930 to $124,425 and Q4 is highest quartile, annual income more than $124,425 (authors own calculation form the Wave 13 of HILDA data).
Mean differences in health care utilization of cancer patients by demographic and socioeconomic characteristics
| Variables | Doctor visits (Mean) | Hospital admissions (mean) | Nights at hospital (mean) | Seen a hospital doctor in the last 12 months (%) | Seen a specialist doctor in the last 12 months (%) | Seen a mental health professional in the last 12 months (%) |
|---|---|---|---|---|---|---|
| Chi-sq test | ||||||
| 0.00 | 0.04 | 0.02 | 0.03 | 0.32 | 0.30 | |
| Income Q 1 | 11.85 (0.03) | 0.68 (0.00) | 2.61 (0.03) | 46.7 (257) | 77 (257) | 6.6 (257) |
| Income Q 2 | 14.88 (0.04) | 0.67 (0.00) | 3.28 (0.03) | 46.7 (75) | 84 (75) | 8.0 (75) |
| Income Q 3 | 6.51 (0.02) | 0.61 (0.00) | 2.14 (0.02) | 27.9 (68) | 86 (68) | 1.5 (68) |
| Income Q 4 | 6.62 (0.03) | 0.75 (0.00) | 2.99 (0.03) | 38.6 (83) | 81 (83) | 8.4 (83) |
| 0.91 | 0.00 | 0.00 | 0.27 | 0.82 | 0.24 | |
| Male | 10.30 (0.01) | 0.72 (0.00) | 2.74(0.01) | 40.4 (267) | 80.9 (267) | 5.2 (267) |
| Female | 10.40 (0.02) | 1.08 (0.00) | 6.01 (0.03) | 45.4 (216) | 80.1 (216) | 7.9 (216) |
| 0.00 | 0.04 | 0.28 | 0.01 | 0.01 | 0.04 | |
| Australia | 8.67 (0.01) | 0.77 (0.00) | 3.70 (0.01) | 39.8 (387) | 78.3 (387) | 5.2 (387) |
| Other | 14.51 (0.04) | 1.05 (0.00) | 4.68 (0.03) | 54.3 (92) | 89.1 (92) | 10.9 (92) |
| 0.00 | 0.00 | 0.00 | 0.05 | 0.95 | 0.02 | |
| 19–44 | 9.40 (0.03) | 0.91 (0.00) | 2.90 (0.02) | 52.8 (53) | 81.1 (53) | 15.1 (53) |
| 45–64 | 7.33 (0.02) | 0.62 (0.00) | 2.56 (0.01) | 36.5 (189) | 79.9 (189) | 4.8 (189) |
| 65 or more | 12.96 (0.03) | 1.01 (0.00) | 5.49 (0.02) | 45.2 (241) | 80.9 (241) | 5.8 (241) |
| 0.00 | 0.23 | 0.15 | 0.00 | 0.08 | 0.22 | |
| > High school | 11.40 (0.70) | 0.94 (0.09) | 4.79 (0.74) | 36.4 (269) | 83.3 (269) | 5.2 (269) |
| ≤ High school | 8.61 (0.64) | 0.82 (0.10) | 4.00 (0.59) | 50.5 (214) | 77.1 (214) | 7.9 (214) |
| 0.02 | 0.28 | 0.04 | 0.21 | 0.15 | 0.02 | |
| Married | 8.94 (0.54) | 0.80 (0.08) | 5.37 (0.88) | 40.3 (283) | 82.7 (283) | 4.2 (283) |
| Otherwise | 11.13 (0.85) | 0.97 (0.12) | 3.63 (0.48) | 46.0 (200) | 77.5 (200) | 9.5 (200) |
| 0.07 | 0.12 | 0.81 | 0.17 | 0.68 | 0.19 | |
| Yes | 12.00 (1.8) | 1.20 (0.38) | 4.57 (1.68) | 52.2 (46) | 78.3 (46) | 10.9 (46) |
| No | 9.62 (0.49) | 0.84 (0.07) | 4.33 (0.48) | 41.6 (437) | 80.8 (437) | 5.9 (437) |
| 0.00 | 0.01 | 0.77 | 0.00 | 0.01 | 0.11 | |
| Yes | 8.14* (0.59) | 0.73* (0.09) | 4.17 (0.63) | 35.2 (284) | 84.2 (239) | 4.9 (284) |
| No | 12.30* (0.75) | 1.07* (0.11) | 4.61 (0.67) | 53.3 (199) | 75.4 (199) | 8.5 (199) |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.02 | 0.09 | |
| Yes | 12.53 (0.67) | 1.13 (0.10) | 6.08 (0.69) | 50 (306) | 83.7 (306) | 7.8 (306) |
| No | 5.24 (0.39) | 0.42 (0.07) | 1.38 (0.31) | 29.9 (177) | 75.1 (177) | 4.0 (177) |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.46 | 0.00 | |
| Low | 6.93 (3.57) | 0.66 (0.36) | 3.02 (2.03) | 35.1 (271) | 78.2 (271) | 2.6 (271) |
| Moderate | 10.61 (8.92) | 1.09 (0.95) | 5.27 (1.96) | 53.5 (86) | 86.0 (86) | 9.3 (86) |
| High | 12.78 (7.20) | 0.62 (0.86) | 4.30 (5.47) | 53.2 (47) | 80.9 (47) | 12.8 (47) |
| Very high | 18.97 (10.9) | 1.33 (0.78) | 8.90 (3.87) | 42.9 (28) | 78.6 (28) | 21.4 (28) |
| 0.00 | 0.00 | 0.00 | 0.88 | 0.57 | 0.04 | |
| Urban | 10.51 (0.02) | 0.83 (0.00) | 4.08 (0.02) | 42.5 (407) | 80.1 (407) | 7.4 (407) |
| Rural | 9.14 (0.03) | 0.96 (0.00) | 3.59 (0.03) | 43.4 (76) | 82.9 (76) | 1.3 (76) |
| 0.77 | 0.52 | 0.57 | 0.39 | 0.46 | 0.14 | |
| New South Wales | 10.57 (0.86) | 0.83 (0.14) | 3.64 (0.69) | 36.3 (160) | 81.9 (160) | 4.4 (160) |
| Victoria | 8.99 (1.18) | 1.12 (0.17) | 6.20 (1.36) | 43.5 (108) | 82.4 (108) | 5.6 (108) |
| Queensland | 9.99 (0.94) | 0.85 (0.16) | 3.94 (1.01) | 48.2 (110) | 77.3 (110) | 8.2 (110) |
| South Australia | 8.37 (1.70) | 0.80 (0.24) | 3.13 (1.19) | 42.5 (40) | 90.0 (40) | 7.5 (40) |
| Western Australia | 10.02 (1.72) | 0.81 (0.19) | 3.23 (0.96) | 51.2 (43) | 72.1 (43) | 9.3 (43) |
| 0.82 | 0.97 | 0.04 | 0.04 | 0.74 | 0.02 | |
| Yes | 9.65 (1.4) | 0.87 (0.24) | 2.48 (0.82) | 60.9 (23) | 82.6 (23) | 21.7 (23) |
| No | 9.37 (0.48) | 0.84 (0.08) | 4.36 (0.54) | 39.9 (411) | 79.8 (411) | 5.4 (411) |
Notes: Standard error in the parenthesis. Q indicates quartile. Three states not included as the number of observations were less than 15. Bootstrap standard errors and P-values. Results are based on 1000 bootstrap samples. Health shocks have been measured with serious personal illness and financial distress with major worsening in finances. For the Chi-sq test: values are in percentage of respondents answered “Yes” and total respondents in the parenthesis. Each variable is represented with a corresponding P-value. *Indicates the Kruskal–Wallis H test P-values.
Table 3 Key determinates of health care utilization of cancer patients by socioeconomic and demographic characteristics (binary logistic regression)
| Doctor visits | Hospital admissions | |||||
|---|---|---|---|---|---|---|
| Factors (reference category) | ||||||
| Excellent | 0.23 | 0.02–2.64 | 0.24 | 0.22 | 0.04–1.21 | 0.08 |
| Very good | 0.65 | 0.20–2.10 | 0.47 | 0.40 | 0.13–1.20 | 0.10 |
| Good | 0.89 | 0.37–2.15 | 0.79 | 0.43 | 0.17–1.05 | 0.03 |
| Fair | 1.02 | 0.44–2.36 | 0.96 | 0.74 | 0.32–1.68 | 0.46 |
| Low income | 1.16 | 0.51–2.64 | 0.72 | 0.70 | 0.32–1.53 | 0.03 |
| Lower-middle income | 1.42 | 0.55–3.67 | 0.46 | 0.39 | 0.15–0.98 | 0.04 |
| Higher-middle income | 0.75 | 0.27–2.09 | 0.58 | 1.45 | 0.62–3.41 | 0.39 |
| BMI ≤18.5 | 1.98 | 0.51–3.73 | 0.32 | 0.58 | 0.16–2.01 | 0.38 |
| BMI 18.6–24.9 | 0.51 | 0.26–0.98 | 0.04 | 1.19 | 0.63–2.25 | 0.59 |
| BMI 25–29.9 | 0.70 | 0.37–1.32 | 0.27 | 1.14 | 0.61–2.14 | 0.68 |
| Age<45 | 2.74 | 0.93–2.84 | 0.04 | 0.58 | 0.22–1.54 | 0.27 |
| Age 45–65 | 0.69 | 0.38–1.25 | 0.02 | 0.56 | 0.32–1.00 | 0.04 |
| Non-smoker | 1.83 | 0.80–3.17 | 0.15 | 0.81 | 0.36–1.80 | 0.60 |
| Less than once a week | 1.58 | 0.81–3.10 | 0.17 | 1.38 | 0.73–2.62 | 0.31 |
| 1–3 times a week | 0.99 | 0.50–1.95 | 0.98 | 0.90 | 0.48–1.69 | 0.74 |
| Most times | 2.67 | 0.70–5.16 | 0.15 | 0.89 | 0.25–3.22 | 0.86 |
| Some times | 1.31 | 0.57–2.98 | 0.52 | 0.71 | 0.31–1.66 | 0.43 |
| A little | 1.88 | 1.02–3.47 | 0.04 | 1.14 | 0.64–2.03 | 0.65 |
| Born outside Australia (Australia) | 0.97 | 0.50–1.88 | 0.93 | 0.74 | 0.39–1.39 | 0.35 |
| Female (male) | 1.23 | 0.72–2.12 | 0.44 | 1.65 | 0.99–2.74 | 0.03 |
| No long-term health condition (yes) | 0.20 | 0.10–0.39 | 0.00 | 1.05 | 0.57–1.90 | 0.87 |
| Health care card (yes) | 1.47 | 0.62–3.47 | 0.38 | 1.17 | 0.51–2.67 | 0.70 |
| Currently not married (married) | 1.08 | 0.63–1.87 | 0.77 | 1.14 | 0.67–1.95 | 0.62 |
| Rural (urban) | 0.87 | 0.43–1.78 | 0.71 | 1.58 | 0.81–3.08 | 0.18 |
| Education more than high school (otherwise) | 1.57 | 0.91–2.70 | 0.10 | 1.27 | 0.75–2.15 | 0.36 |
| Private health insurance (yes) | 2.05 | 1.16–3.62 | 0.01 | 0.87 | 0.49–1.53 | 0.62 |
| Hospital doctor visit (otherwise) | 0.43 | 0.25–0.73 | 0.00 | 0.14 | 0.08–0.23 | 0.00 |
| Specialist doctor visits (otherwise) | 0.36 | 0.18–0.72 | 0.00 | 0.53 | 0.28–1.02 | 0.05 |
| Constant | 0.74 | 0.39 | 2.99 | 0.83 | ||
| Omnibus test model coefficients | 166.66 | 0.000 | 130.96 | 0.000 | ||
| Hosmer & Lemeshow | 9.65 | 0.29 | 10.16 | 0.25 | ||
| −2 Log likelihood | 392.46 | 430.11 | ||||
| Cox & Snell (R-Sq) | 0.33 | 0.27 | ||||
| Nagelkerke (R-Sq) | 0.44 | 0.36 | ||||
Notes: Data from Wave 13. Bootstrap standard errors and P-values. Results are based on 1000 bootstrap samples. Reference category presented in the parenthesis. Response variable number of doctor visits is a binary variable where values zero to nine, 0 and 1= otherwise; hospital admission in the last twelve months is a binary variable where 1= yes and 0= otherwise. CI indicates the 95% confidence interval.
Factors impacting health care utilization of cancer patients (zero-inflated Poisson regression model)
| Doctor visits | Hospital admissions | |||||
|---|---|---|---|---|---|---|
| Variables | ||||||
| Self-assessed health | 0.234 | 0.193– 0.275 | 0.00 | 0.284 | 0.136– 0.432 | 0.00 |
| Household disposable income | −0.00018 | −0.000- 0.000 | 0.00 | 0.00004 | −0.000– 0.000 | 0.55 |
| BMI | −0.003 | −0.007–0 .000 | 0.04 | −0.006 | −0.021– 0.007 | 0.35 |
| Age | −0.001 | −0.004– 0.001 | 0.43 | −0.001 | −0.011– 0.009 | 0.85 |
| Smoking frequency | −0.016 | −0.065– 0.031 | 0.50 | −0.250 | −0.449– −0.051 | 0.01 |
| Physical activity | −0.014 | −0.055– 0.026 | 0.48 | 0.063 | −0.084– 0.211 | 0.40 |
| Psychological distress | 0.144 | 0.110– 0.178 | 0.00 | −0.029 | −0.172– 0.113 | 0.68 |
| Born outside Australia | −0.082 | −0.159- −0.005 | 0.03 | 0.082 | −0.213– 0.379 | 0.58 |
| Gender | −0.096 | −0.163– −0.029 | 0.00 | −0.371 | −0.629– −0.113 | 0.00 |
| Long-term health condition | 0.385 | 0.295– 0.475 | 0.00 | 0.402 | −0.023– 0.828 | 0.06 |
| Possess health care card | 0.155 | 0.056– 0.254 | 0.00 | 0.310 | −0.040– 0.660 | 0.08 |
| Marital status | −0.068 | −0.136– 0.000 | 0.05 | −0.120 | −0.381– 0.141 | 0.36 |
| Place of residence | 0.061 | −0.032– 0.154 | 0.20 | 0.031 | −0.297– 0.358 | 0.85 |
| Education level | −0.013 | −0.081– 0.054 | 0.69 | 0.222 | −0.027– 0.472 | 0.08 |
| Has private health insurance | −0.054 | −0.126– 0.017 | 0.13 | −0.082 | −0.347– 0.182 | 0.54 |
| Visited a hospital doctor | 0.273 | 0.210– 0.336 | 0.00 | 0.624 | 0.252– 0.996 | 0.00 |
| Visited a specialist doctor | 0.177 | 0.104– 0.249 | 0.00 | 0.943 | 0.452–1.43 | 0.00 |
| Constant | 1.059 | 0.737–1.38 | 0.00 | −1.913 | −3.18– −0.658 | 0.00 |
| Log likelihood | −1860.01 | −461.58 | ||||
| LR Chi-sq (17) | 1358.76 | 93.69 | ||||
| Zero Obs | 22 | 291 | ||||
| Nonzero Obs | 433 | 164 | ||||
| Vuong test value | 2.55 (0.00) | 2.62 (0.00) | ||||
Notes: Doctor visits, number of doctor visits including zero; Hospital admission= number of hospital admissions including zero; Household annual disposable income is a continuous variable without negative value; Gender is a dummy variable (male, 1 and female, 0); Age is a continuous variable without negative value; Edu1= Education level dummy (high school or less=0 and otherwise=1); BMI= Body mass index is a continuous variable without negative; Place of residence is a dummy variable (urban, 1 and rural, 0). Private health insurance dummy (yes=1 and no=0); Long-term health conditions dummy (yes, 1 and no=0); Health care card is a dummy variable (yes,1 and no=0); Psychological distress is Kessler psychological distress scale; Seen a hospital doctor in the last 12 months; Seen a specialist doctor in the last 12 months; CI indicates the 95% confidence interval.
Characteristics and health care utilization of cancer patients with high or very high level of psychological distress (Pearson Chi-sq test)
| Variables | Psychological distress level (%) | Chi-sq test ( | |||
|---|---|---|---|---|---|
| Low | Moderate | High | Very high | ||
| 0.019 | |||||
| > High school | 67.4 | 19.6 | 8.9 | 4.1 | |
| ≤High school | 57.6 | 18.8 | 13.6 | 9.9 | |
| 0.530 | |||||
| Urban | 61.8 | 20.6 | 11.2 | 6.4 | |
| Rural | 72.1 | 11.8 | 8.8 | 7.4 | |
| 0.136 | |||||
| Low | 60.3 | 21.1 | 11.6 | 6.9 | |
| Lower-middle | 56.0 | 21.3 | 10.7 | 12.0 | |
| Upper-middle | 66.7 | 21.7 | 8.7 | 2.9 | |
| High | 75.3 | 10.6 | 10.6 | 3.5 | |
| 0.001 | |||||
| 19–45 | 42.9 | 22.4 | 22.4 | 12.2 | |
| 45–65 | 66.7 | 15.4 | 8.7 | 9.2 | |
| 65 or more | 65.0 | 22.1 | 10.1 | 2.8 | |
| 0.001 | |||||
| Female | 55.9 | 22.1 | 10.8 | 11.3 | |
| Male | 68.8 | 17.3 | 10.9 | 3.0 | |
| 0.000 | |||||
| Married | 70.1 | 16.5 | 10.8 | 2.5 | |
| Otherwise | 53.0 | 23.5 | 10.9 | 12.6 | |
| Hospital doctor visit (yes) | 35.1 | 53.5 | 53.2 | 42.9 | 0.006 |
| Specialist doctor visit (yes) | 78.2 | 86.0 | 80.9 | 78.6 | 0.465 |
| Mental health professional visit (yes) | 2.6 | 9.3 | 12.8 | 21.4 | 0.000 |
| Hospital admissions >1 | 15.2 | 22.4 | 14.0 | 36.6 | 0.043 |
| Hospital nights stay >1 | 24.1 | 35.3 | 30.0 | 46.4 | 0.001 |
Factors influencing healthcare utilization of cancer patients (generalised linear model)
| LnDrV | LnHsN | |||
|---|---|---|---|---|
| Cancer | No Cancer | Cancer | No Cancer | |
| LnDY | −0.002 (0.02) | −0.109*(0.01) | −0.000 (0.05) | −0.114*(0.02) |
| Age | −0.000 (0.00) | 0.000 (0.00) | 0.000 (0.001) | 0.000 (0.001) |
| Gender | −0.006 (0.04) | −0.058*(0.01) | −0.025 (0.16) | −0.060*(0.001) |
| Edu1 | 0.071 (0.05) | 0.013 (0.01) | 0.080*(0.18) | 0.014 (0.06) |
| BMI | 0.008*(0.00) | 0.005*(0.00) | 0.007*(0.01) | 0.005*(0.000) |
| MaritalStatus | −0.039 (0.04) | 0.009 (0.01) | −0.026 (0.17) | 0.008 (0.05) |
| Urb Dummy | −0.059 (0.05) | −0.018 (0.01) | −0.066 (0.17) | −0.018 (0.051) |
| HIn Dummy | 0.091*(0.05) | 0.106*(0.01) | 0.077 (0.18) | 0.106*(0.06) |
| Int Access | 0.079 (0.05) | 0.015 (0.01) | 0.089 (0.19) | 0.020 (0.01) |
| Lng Health | −0.274*(0.04) | −0.150*(0.01) | −0.311*(0.20) | −0.155*(0.06) |
| PshyCo | 0.078*(0.02) | 0.078*(0.006) | 0.087*(0.11) | 0.080*(0.006) |
| DrV | ||||
| SDr | −0.079 (0.04) | −0.145* (0.01) | ||
| HNght | 0.009*(0.00) | 0.004*(0.002) | ||
| Intercept | −0.509*(0.33) | 0.084*(0.11) | −0.468 (0.32) | 0.121 (0.11) |
| Dev/df | 0.351 | 0.581 | 0.159 | 0.159 |
| Adj R-Sq | 0.595 | 0.420 | 0.709 | 0.515 |
Note: *P<0.05. Standard error in the parenthesis.
Abbreviations: LnDY, log of annual household total disposable income; Gender, (male,1 and female,0); Edu1, Education level dummy; BMI, Body mass index; Hld size, Household size; Urb Dummy, Urban resident dummy; Hln Dummy, Health insurance dummy; Int Access, Internet access at home; Lng Health, Long term health conditions; PshyCo, risk category score of Kessler Psychological Distress scale; DrV, Number of doctor visits of participants; SDr, Seen a specialist doctor in the last 12 months; HNght, Number of nights at hospital participants. Dev/df= Deviance divided by the degrees of freedom and this is used to measure the goodness of fit.