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Table 1 Sampling and sample size for quantitative and qualitative methods

From: Quality of obstetric and newborn care in health centers of Addis Ababa City: using the WHO quality framework

Groups

Sampling method

Sample size

Assumptions

Quantitative phase sampling and sample size

Survey of health centers

Sampling health center survey:

A stratified simple random sampling method was applied for the selection of health centers. Health centers were stratified by sub-city. Lottery method was applied to select 5 health centers from each of the 10 sub-cities

The sample size for the health centers survey (maternity unit heads interview, register review, and observation)

Health centers were stratified by the 10 sub-cities. Simple random sampling – a lottery method was used to select 5 health centers from each of the 10 sub-cities in Addis Ababa city

Half of the population was included in the study. A sample > 30 is sufficient to do a parametric test (Rule of thumb)

Survey of women in the post-partum period [9]

Sampling women survey: 10 women were interviewed from each of the 50 health centers

Systematic random sampling was used to select 10 women who were 6 h to 6 weeks in the post-partum period. Women were selected from all eligible women who were in immediate post-partum care or who came to the health center for post-natal care during the 2 days visit to each of the health centers [9]

The sample size for women interview [9]

\({n}_{1}={n}_{2}=\frac{{\left({z}_{a/2}\sqrt{2\overline{pq} }+{z}_{\beta }\sqrt{{p}_{1}{q}_{1}+{p}_{2}{q}_{2}}\right)}^{2}}{{\Delta }^{2}}\)

\(\mathrm{Calculate} \overline{p }=\frac{{p}_{1}+{p}_{2}}{2}.\)

 = 0.25 + 0.15 = 0.2

             2

∆ = p1-p2

 = 0.25—0.15 = 0.1

n1 = n2 = (1.96 √.2*.8 + 0.84 √0.25*0.75 + 0.15*0.85)2

                                    (0.1)2

n1 = 250 n2 = 250 n = n1 + n2 = 500

A study in Addis Ababa reported client satisfaction of 20% on intrapartum care [10]

P1 = % client satisfied with the care at facilities with high-quality score = 25%

P2 = % client satisfied with the care at facilities with low-quality score = 15%

95% Confidence interval (Z  /2 = 1.96)

Power 80% (Zβ = 0.84)

Survey of midwives

Sampling midwives’ survey:

All midwives working in the 50 health centers and available during the study period were interviewed using a structured questionnaire

The sample size for midwives’ interview

n = (Z/2)2 pq

          d2

n = (1.96) 2 0.53 (0.47) = 390

               (0.05) 2

P = 0.53 q = 1-p = 0.47 d = 0.05

Correction for finite population

nf = n/(1 + n/N) + 15% (n) addition for non-response

nf = 390/(1 + 390/1200 + 15% (390) = 339

The sample size required after correction for a finite population was 339 midwives

A study in Addis Ababa reported job satisfaction among midwives of 53% [11]

The proportion of midwives who were satisfied in their job = 53%

The margin of error (d) = 0.05

95% Confidence interval (Z  /2 = 1.96)

N = 1200 number of all midwives in Addis Ababa