BACKGROUND Measuring physical activity and sedentary behavior accurately remains a challenge. When describing the uncertainty of mean values or when making group comparisons, minimising Standard Error of the Mean (SEM) is important. The sample size and the number of repeated observations within each subject influence the size of the SEM. In this study we have investigated how different combinations of sample sizes and repeated observations influence the magnitude of the SEM.
METHODS A convenience sample were asked to wear an accelerometer for 28 consecutive days. Based on the within and between subject variances the SEM for the different combinations of sample sizes and number of monitored days was calculated.
RESULTS Fifty subjects (67% women, mean±SD age 41±19 years) were included. The analyses showed, independent of which intensity level of physical activity or how measurement protocol was designed, that the largest reductions in SEM was seen as the sample size were increased. The same magnitude in reductions to SEM was not seen for increasing the number of repeated measurement days within each subject.
CONCLUSION The most effective way of reducing the SEM is to have a large sample size rather than a long observation period within each individual. Even though the importance of reducing the SEM to increase the power of detecting differences between groups is well-known it is seldom considered when developing appropriate protocols for accelerometer based research. Therefore the results presented herein serves to highlight this fact and have the potential to stimulate debate and challenge current best practice recommendations of accelerometer based physical activity research.
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Posted 19 May, 2020
On 21 May, 2020
Received 20 May, 2020
Received 19 May, 2020
On 13 May, 2020
Invitations sent on 12 May, 2020
On 12 May, 2020
On 07 May, 2020
On 06 May, 2020
On 01 Jul, 2019
On 08 Apr, 2020
Received 25 Mar, 2020
On 17 Mar, 2020
Received 12 Feb, 2020
On 30 Jan, 2020
Invitations sent on 10 Sep, 2019
On 19 Jul, 2019
On 18 Jul, 2019
On 18 Jul, 2019
On 02 Jul, 2019
On 01 Jul, 2019
On 28 Jun, 2019
On 27 Jun, 2019
On 26 Jun, 2019
Posted 19 May, 2020
On 21 May, 2020
Received 20 May, 2020
Received 19 May, 2020
On 13 May, 2020
Invitations sent on 12 May, 2020
On 12 May, 2020
On 07 May, 2020
On 06 May, 2020
On 01 Jul, 2019
On 08 Apr, 2020
Received 25 Mar, 2020
On 17 Mar, 2020
Received 12 Feb, 2020
On 30 Jan, 2020
Invitations sent on 10 Sep, 2019
On 19 Jul, 2019
On 18 Jul, 2019
On 18 Jul, 2019
On 02 Jul, 2019
On 01 Jul, 2019
On 28 Jun, 2019
On 27 Jun, 2019
On 26 Jun, 2019
BACKGROUND Measuring physical activity and sedentary behavior accurately remains a challenge. When describing the uncertainty of mean values or when making group comparisons, minimising Standard Error of the Mean (SEM) is important. The sample size and the number of repeated observations within each subject influence the size of the SEM. In this study we have investigated how different combinations of sample sizes and repeated observations influence the magnitude of the SEM.
METHODS A convenience sample were asked to wear an accelerometer for 28 consecutive days. Based on the within and between subject variances the SEM for the different combinations of sample sizes and number of monitored days was calculated.
RESULTS Fifty subjects (67% women, mean±SD age 41±19 years) were included. The analyses showed, independent of which intensity level of physical activity or how measurement protocol was designed, that the largest reductions in SEM was seen as the sample size were increased. The same magnitude in reductions to SEM was not seen for increasing the number of repeated measurement days within each subject.
CONCLUSION The most effective way of reducing the SEM is to have a large sample size rather than a long observation period within each individual. Even though the importance of reducing the SEM to increase the power of detecting differences between groups is well-known it is seldom considered when developing appropriate protocols for accelerometer based research. Therefore the results presented herein serves to highlight this fact and have the potential to stimulate debate and challenge current best practice recommendations of accelerometer based physical activity research.
Figure 1
Figure 2
This is a list of supplementary files associated with this preprint. Click to download.
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