Table 5 Results of the modelling of practice detection rates with both specified between-practice variation and random case-mix variation

From: General practice performance in referral for suspected cancer: influence of number of cases and case-mix on publicly reported data

    

‘Poorly performing practices’

Model parameters a

Observed data (detection rate) b

Correctly identified c

Total identified d

Cases

s.d. e

Min

Max

Median

IQR

Median

IQR

Low variation (s.d.=0.025)

25

0.1

0.16

0.8

18

14 – 19

87

80 – 93

50

0.07

0.24

0.72

19

16 – 21

77

70 – 82

75

0.06

0.27

0.69

24

21 – 27

87

79 – 92

100

0.06

0.29

0.66

28

24 – 29

87

78 – 94

150

0.05

0.32

0.64

30

27 – 34

89

84 – 95

200

0.04

0.34

0.63

35

33 – 38

91

86 – 96

Moderate variation (s.d.=0.05)

25

0.11

0.12

0.84

20

17 – 24

58

53 – 64

50

0.09

0.2

0.76

31

28 – 35

77

69 – 89

75

0.08

0.23

0.73

39

36 – 43

85

78 – 94

100

0.07

0.25

0.71

44

40 – 47

89

83 – 95

150

0.06

0.27

0.69

52

48 – 55

91

88 – 95

200

0.06

0.28

0.68

57

54 – 59

94

89 – 97

High variation (s.d.=0.075)

25

0.12

0.08

0.88

32

29 – 36

75

70 – 83

50

0.1

0.14

0.82

44

40 – 48

81

75 – 89

75

0.09

0.16

0.79

52

49 – 55

90

83 – 95

100

0.09

0.18

0.77

57

54 – 60

91

86 – 97

150

0.09

0.2

0.76

64

62 – 67

94

90 – 97

200

0.08

0.21

0.75

68

66 – 71

95

92 – 98

  1. Abbreviations: IQR=interquartile range; Max=maximum; Min=minimum.
  2. aFor each set of parameters, 200 sets of 1000 practices were modelled.
  3. bValues for s.d., minimum and maximum represent median values for all runs of the simulation at each specification of practice variation and number of cancer cases.
  4. cCorrectly identified poorly performing practices represents the median number (with interquartile range) of practices, which were in the lowest decile of detection rate before adjusting for case-mix (N=100) and which were also in the lowest decile of detection rate after introducing random case-mix variation.
  5. dTotal identified poorly performing practices represents the median number (with interquartile range) of practices, which were in the lowest decile of detection rate after introducing random case-mix variation.
  6. eStandard deviation.