| Literature DB >> 29202768 |
Daniël van Hassel1,2, Lud van der Velden3, Dinny de Bakker, Lucas van der Hoek3, Ronald Batenburg3,4.
Abstract
BACKGROUND: Our research is based on a technique for time sampling, an innovative method for measuring the working hours of Dutch general practitioners (GPs), which was deployed in an earlier study. In this study, 1051 GPs were questioned about their activities in real time by sending them one SMS text message every 3 h during 1 week. The required sample size for this study is important for health workforce planners to know if they want to apply this method to target groups who are hard to reach or if fewer resources are available. In this time-sampling method, however, standard power analyses is not sufficient for calculating the required sample size as this accounts only for sample fluctuation and not for the fluctuation of measurements taken from every participant. We investigated the impact of the number of participants and frequency of measurements per participant upon the confidence intervals (CIs) for the hours worked per week.Entities:
Keywords: Confidence interval; General practitioners; Health workforce planning; SMS text messaging; Sample size; Time sampling; Working hours
Mesh:
Year: 2017 PMID: 29202768 PMCID: PMC5715539 DOI: 10.1186/s12960-017-0254-8
Source DB: PubMed Journal: Hum Resour Health ISSN: 1478-4491
Additional simulations on different working schedules to calculate measurement fluctuation
| To gain insight into the effect of a certain working schedule, we conducted additional simulations on other types of working weeks and calculated the total CIs according to step 3 which is described in this section. In these simulations, one measurement per half-, 1-, 2- and 3-h time slot during the week was assumed. The results were compared with the total CI based on the simulations on the 40-h working week we actually used in our analyses. This showed that the CIs would be a bit lower in most cases. The differences vary between − 0.21 and + 0.10 if 50 GPs are assumed and between − 0.12 and + 0.10 if 100 GPs are assumed (Table 4 in the |
Fig. 1Moments on which a GP indicates I am working or not, with an SMS in different time slots. For a GP working on weekdays and from 7:30 am to 4:30 pm with a 1-h break in the afternoon. The beginning of the working day by a 30-min time slot was set at a couple of minutes from 7:30 am to simulate the CIs
Means and one-sided CIs of GPs’ working hours, total and by position of employment and gender (based on the SMS measurements taken once every 3 h during 1 week for every GP)
| Number of measurements | Number of GPs | Mean hours | CI ± hours | |
|---|---|---|---|---|
| Totala | 58 856 | 1 051 | 45.18 | 0.67 |
| Self-employed | ||||
| Male | 16 296 | 291 | 51.91 | 1.32 |
| Female | 18 312 | 327 | 45.81 | 1.20 |
| Salaried | ||||
| Male | 3 136 | 56 | 41.57 | 2.81 |
| Female | 8 232 | 147 | 32.16 | 1.63 |
| Locum | ||||
| Male | 5 096 | 91 | 36.96 | 2.14 |
| Female | 7 784 | 139 | 33.13 | 1.68 |
The CI includes sample fluctuation and measurement fluctuation, as has been described in the “Methods” section
CI one-sided 95% confidence interval, hours above or below the mean
aMean hours and CIs are weighted by position of employment and gender of the population of GPs
Fig. 2CI for one to 50 GPs and 50 to 500 GPs. The CI includes the weighted sample fluctuation and measurement fluctuation which is based on the equations and simulations on the data and is described in the “Methods” section. CI = one-sided 95% confidence interval, hours above or below the mean
Overview of estimates of participants needed and frequency of the measurements, with a certain CI
| Measurements during the week per: | ||||
|---|---|---|---|---|
| Half an hour | Hour | 2 h | 3 ha | |
| CI of ± 1 h | 45 | 100 | 200 | 300 |
| CI of ± 2 h | 15 | 30 | 75 | 100 |
| CI of ± 3 h | < 10 | 15 | 30 | 50 |
CI one-sided 95% confidence interval, hours above or below the mean
aOne measurement per 3-h time slot was applied in our study
Total CIs based on simulations conducted on a 40-h working week and differences with the total CIs based on simulations conducted on six alternative working schedules, divided by the frequency of the measurements during 1 week, including 50 and 100 GPs
| Measurement per: | ||||
|---|---|---|---|---|
| 0.5 h | 1 h | 2 h | 3 h | |
| Total CI based on 40-h working schedule used (50 GPs) | 1.17 | 1.71 | 2.44 | 3.09 |
| Change of total CI in case of | ||||
| • Alternative 1 | − 0.04 | − 0.07 | − 0.12 | − 0.21 |
| • Alternative 2 | − 0.04 | − 0.05 | − 0.09 | − 0.14 |
| • Alternative 3 | − 0.03 | − 0.07 | − 0.10 | − 0.13 |
| • Alternative 4 | − 0.03 | − 0.06 | − 0.08 | − 0.08 |
| • Alternative 5 | − 0.03 | 0.02 | 0.10 | 0.06 |
| • Alternative 6 | − 0.02 | 0.05 | 0.07 | 0.08 |
| Total CI based on 40-h working schedule used (100 GPs) | 0.83 | 1.21 | 1.73 | 2.15 |
| Change of total CI in case of | ||||
| • Alternative 1 | − 0.03 | − 0.05 | − 0.08 | − 0.12 |
| • Alternative 2 | − 0.03 | − 0.03 | − 0.05 | − 0.07 |
| • Alternative 3 | − 0.02 | − 0.05 | − 0.07 | − 0.06 |
| • Alternative 4 | − 0.02 | − 0.04 | − 0.06 | − 0.02 |
| • Alternative 5 | − 0.02 | 0.02 | 0.08 | 0.05 |
| • Alternative 6 | − 0.02 | 0.03 | 0.05 | 0.10 |
The total CI is based on the combination of sample and measurement fluctuation as has been explained in the “Methods” section. Simulations on a 40-h working schedule are conducted to assess the amount of measurement fluctuation. All working days start at 7:30 am. The beginning of the working day by a half an hour time slot was set at a couple of minutes from 7:30 am to simulate the CIs
Legend: Working schedule used in this paper = 5 working days of 8 h; 1-h break (40 h per week). Alternative 1 = 2 working days of 8 h; 1-h break (16 h per week). Alternative 2 = 3 working days of 8 h; 1-h break (24 h per week). Alternative 3 = 4 working days of 4 h; no break (16 h per week). Alternative 4 = 5 working days of 4 h; no break (20 h per week). Alternative 5 = 6 working days of 10 h; 1-h break (60 h per week). Alternative 6 = 7 working days of 8 h; 1-h break (56 h per week)