31
1 Pneumonia prevention using topical antibiotics in the Intensive Care Unit (ICU). Another variation on control group variability. …..or….. Confidence ellipses: an application of ellip to model the relation between control group rate and intervention effect size within controlled trials. James C Hurley 1 1 Melbourne Medical School, University of Melbourne 2015 Australia and New Zealand Stata Users Group meeting Canberra

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1

Pneumonia prevention using topical antibiotics in the Intensive Care

Unit (ICU). Another variation on control group variability.

…..or…..

Confidence ellipses: an application of ellip to model the relation

between control group rate and intervention effect size within

controlled trials.

James C Hurley1

1Melbourne Medical School,

University of Melbourne

2015 Australia and New Zealand

Stata Users Group meeting

Canberra

2

Meta-analysis

Definition

• the application of statistical techniques

• to the analysis of multiple studies

• to derive summary results

• and to contrast results

i.e. beyond the summary result

• why are the studies so different?

• Control group rate?

3

This talk

Conflicting results among studies of-

1. Diagnostic test • Endotoxin detection

• 90 studies

2. Controlled trials• Pneumonia prevention in ICU

• >200 studies

4

Control group rate…..?

Analytic considerations

• Choice of– Effect size

• RR / OR / RD?

– Scale• Linear / other

• Effect size versus control group rate (confounded relationship)

• Low or zero event rate issues

• Linear regression?

• Ecological fallacy

Interest

• Higher risk = Greater benefit?

• Lower risk = adverse effects (“J curve”)?

• Contextual effects?

0

.2

.4

.6

.8

1

inte

rvention g

roup r

ate

0.2.4.6.81

control group rate

study OR

y=x RR

RD

5

Galton (1886) – height of children versus parents

6

Meta-analysis in Stata

• meta – 1997

• metan – 1998

– labbe

– funnel

• metacum

• metareg

• metandi

– metandiplot

• mvmeta

All come with graphical presentation to enable contrasting of results in addition to statistical summary.

7

Gram negative bacteremia

+ (no.) - (no.)

Endotoxemia+ TP FP

- FN TN

Endotoxemia detection

DOR = ((TP/FN)/(FP/TN))

8

TNFN FP

TP

Sub-population with disease absent

Sub-population with disease present

num

ber

of

test

results

Test measurement scale

Test

thre

shold

From - Hurley JC. (2011). Meta-analysis of Clinical Studies of Diagnostic Tests: Developments in How the

Receiver Operating Characteristic “Works”. Arch Pathol Lab Med. 135: 1585-1590

http://www.archivesofpathology.org/doi/abs/10.5858/arpa.2011-0016-SO

How the ROC works

9

Gram negative bacteremia

+ (no.) - (no.)

Endotoxemia+ TP FP

- FN TN

Endotoxemia detection

Sensitivity = (TP/(FN+TP))

Specificity = (TN/(TN+FP))

10

All studies (n=90)

metandiplot tp fp fn tn, predopts(off) confopts(off) curveopts(off) addplot(function y=1-x, lp(dash) lc(blue)) legend(off) ylab( , ang(h))

Data available at - Hurley JC. 2013. Endotoxemia. concordance with Gram-negative bacteremia and association with outcome.

Doctor of Medical Science thesis. University of Melbourne. Melbourne, Australia. Available online: URL http://repository.unimelb.edu.au/10187/17991 (accessed on 25 July 2015).

Hurley JC. (2009). Does gram-negative bacteremia occur without endotoxemia? A meta-analysis using hierarchical summary ROC curves. Eur. J. Clin. Microbiol. Infect Dis. 29: 207-215.

http://rd.springer.com/article/10.1007/s10096-009-0841-2#page-1

0

.2

.4

.6

.8

1

Sensitiv

ity

0.2.4.6.81

Specificity

Note scale for x axis intentionally reversed

11

All studies (n=90)

metandiplot tp fp fn tn, predopts(off) confopts(off) addplot(function y=1-x, lp(dash) lc(blue)) legend(off) ylab( , ang(h))

0

.2

.4

.6

.8

1S

ensitiv

ity

0.2.4.6.81

Specificity

Data available at - Hurley JC. 2013. Endotoxemia. concordance with Gram-negative bacteremia and association with outcome.

Doctor of Medical Science thesis. University of Melbourne. Melbourne, Australia. Available online: URL http://repository.unimelb.edu.au/10187/17991 (accessed on 25 July 2015).

Hurley JC. (2009). Does gram-negative bacteremia occur without endotoxemia? A meta-analysis using hierarchical summary ROC curves. Eur. J. Clin. Microbiol. Infect Dis. 29: 207-215.

http://rd.springer.com/article/10.1007/s10096-009-0841-2#page-1

12

All studies (n=90)

metandiplot tp fp fn tn, predopts(off) addplot(function y=1-x, lp(dash) lc(blue)) legend(off) ylab( , ang(h))

0

.2

.4

.6

.8

1

Sensitiv

ity

0.2.4.6.81

Specificity

Data available at - Hurley JC. 2013. Endotoxemia. concordance with Gram-negative bacteremia and association with outcome.

Doctor of Medical Science thesis. University of Melbourne. Melbourne, Australia. Available online: URL http://repository.unimelb.edu.au/10187/17991 (accessed on 25 July 2015).

Hurley JC. (2009). Does gram-negative bacteremia occur without endotoxemia? A meta-analysis using hierarchical summary ROC curves. Eur. J. Clin. Microbiol. Infect Dis. 29: 207-215.

http://rd.springer.com/article/10.1007/s10096-009-0841-2#page-1

13

All studies (n=90)

metandiplot tp fp fn tn, addplot(function y=1-x, lp(dash) lc(blue)) legend(off) ylab( , ang(h))

0

.2

.4

.6

.8

1

Sensitiv

ity

0.2.4.6.81

Specificity

Data available at - Hurley JC. 2013. Endotoxemia. concordance with Gram-negative bacteremia and association with outcome.

Doctor of Medical Science thesis. University of Melbourne. Melbourne, Australia. Available online: URL http://repository.unimelb.edu.au/10187/17991 (accessed on 25 July 2015).

Hurley JC. (2009). Does gram-negative bacteremia occur without endotoxemia? A meta-analysis using hierarchical summary ROC curves. Eur. J. Clin. Microbiol. Infect Dis. 29: 207-215.

http://rd.springer.com/article/10.1007/s10096-009-0841-2#page-1

2x2 with a zero cell

14

studies undertaken in ICU (n=16) versus other

metandiplot tp fp fn tn if pop!="i", addplot(scatter TPpct spc if pop=="i" [aweight = t], msize(small) mcolor(red) msymbol(circle_hollow)|| function y=1-x, lp(dash) lc(blue)) legend(off) ylab( , ang(h))

0

.2

.4

.6

.8

1

Sensitiv

ity

0.2.4.6.81

Specificity

Data available at - Hurley JC. 2013. Endotoxemia. concordance with Gram-negative bacteremia and association with outcome.

Doctor of Medical Science thesis. University of Melbourne. Melbourne, Australia. Available online: URL http://repository.unimelb.edu.au/10187/17991 (accessed on 25 July 2015).

Hurley JC. (2009). Does gram-negative bacteremia occur without endotoxemia? A meta-analysis using hierarchical summary ROC curves. Eur. J. Clin. Microbiol. Infect Dis. 29: 207-215.

http://rd.springer.com/article/10.1007/s10096-009-0841-2#page-1

15

This talk…so far

Endotoxin detection

• metandiplot reveals the

broad literature experience

and now to ….

• Pneumonia prevention in

ICU (>200 studies)

16

Gastric pH

Airway management

Topical antibiotic prophylaxis

(SDD)

Studies of

non-antibiotic methods

Studies of

antibiotic methods

17

Study group

Intervention (no.) Control (no.)

Pneumonia

/ Bacteremia+ ivap_n vap_n

- ivap_m vap_m

Infection prevention in ICUvap = ventilator associated pneumonia

OR = ((ivap_n/ ivap_m)/(vap_n/ vap_m))

Interventions under study;

• Non-antibiotic methods

• Methods using topical antibiotics– Concurrent design

– Non-concurrent design.

18Overall (I-squared = 41.6%, p = 0.000)

Girou [S]

Beuret [S]

Bonten '95 [S39]

O'Keefe [S]

Reigneir [S]

Tan [S]

Fourr ier '05 [S42]

Laggner [S]

MacNaughton [S]

Branson [S]

De Riso [S]

Forestier [S]

Voggenreiter [S]

Metz [S]

Prakash [S]

Hanisch_plac [S]

Kantorova S [S]

Hurni [S]

Fink [S]

Montecalvo_J [S]

Hsu [S]

Liu [S]

Lorente'06 [S]

Mancebo [S]

Panchachai [S]

Traver [S]

Martin [S]

Pickworth [S]

Apte [S]

Giamarellos-Bourboulis [S]

Prod'hom_R [S]

Kollef'98 [S]

Holzapfel_I_99 [S44]

Yao [S]

Besselink [S]

Chan [S]

White [S]

Harvey [S]

Combes [S]

Kearns_I [S]

Lacherade '05 [S]

Ben-Menachem [S]

Scannapieco [S]

Lacherade '10 [S]

Spindler-Vessel [S]

Dreyfuss [S]

Bellissimo-Rodrigues [S]

Whiteman [S]

Dreyfuss [S]

Klar in [S]

Yang [S]

Kantorova P [S]

Cook [S]

Boots'06_HME [S]

Doig [S]

Demarest [S]

Davies [S]

KoemanChC [S]

Eddleston '91 [S]

Holzapfel_I_93 [S]

Seguin [S]

Kortbeek [S]

Watanabe [S]

Mustafa [S]

Barraud [S]

Eddleston '94 [S]

Koeman-Ch [S]

MacIntyre [S]

Ibrahim '02 [S]

Lorente '04 [S]

Kirschenbaum [S]

Adams [S]

Segers [S]

Montejo [S]

Long_all [S]

Ben-Menachem [S]

Scannapieco [S]

Zeitoun [S]

Thomason [S]

Lorente'06 [S]

Guerin [S]

Smulders [S]

Conrad [S]

Camus MCh [S]

Knight [S]

Ahrens [S]

Deppe [S]

Acosta-escribano [S]

Zheng [S]

Valles [S]

Seguin-PVI [S]

Bo [S]

Mahul [S]

Memish [S]

Prod'hom_S [S]

Pobo [S]

Morrow [S]

de Boisblanc [S]

Welte [S]

Kollef '97 [S]

Gentilello [S]

Johnson [S]

Thomason [S]

Sirvent [S]

Tantipong [S]

Bonten '96_I [S]

Munro [S]

Kotzampassi [S]

Darvas [S]

Metz [S]

Kollef '95 [S]

Fourr ier '00 [S41]

Summer [S]

Hanisch [S]

Lorente'12 [S]

Roustan [S]

author

Lorente'05 [S]

Kir ton [S]

Drakulovic [S]

Valencia [S]

Boots [S]

Lorente'07 [S]

Rabitsch [S]

Topeli [S]

favours intervention favours control

1.01 .03 .1 .3 1 3 10

VAP-ES: non-antibiotic methods

.

.

Overall (I-squared = 49.4%, p = 0.000)

Tetteroo [S96]

Bion [S71]

Stoutenbeek '07 [S95]

Verwaest PTA [S99]

Rodriguez_Roldan [S91]

Cerra [S73]

Krueger [S]

Langlois-Karaga [S]

Jacobs [S82]

Hellinger [S80]

Rocha [S90]

McClelland [S]

Gaussorgues [S78]

Tissot van Patot [S]

de Smet SDD [S58]

Palomar_PTA [S86]

Hartenauer [S60]

Brun-Buisson [S56]

Sydow [S]

Arnow [S69]

Hammond-SDD [S]

Garbino_Fl [S102]

Flaherty [S77]

Quinio [S88]

Nardi [S64]

Verwaest OA [S99]

Palomar Ctx' [S]

Ruza [S]

de le Cal [S75]

Barret [S70]

Laggner [S85]

Brun-Buisson [S56]

Camus PT [S]

Cockerill [S74]

Sanchez-Garcia [S]

Hammond-SDD [S]

Cerda [S]

Korinek [S84]

Stoutenbeek '96 [S]

Wiener [S100]

nonconcurrent control-SDD

Rolando [S92]

concurrent control-SDD

Aerdts [S68]

Subtotal (I-squared = 68.5%, p = 0.000)

Kerver [S83]

Rolando [S93]

Blair [S72]

Fox [S]

Georges [S79]

Ledingham [S]

Hartenauer [S60]

Godard [S59]

de Smet SOD [S58]

Ferrer [S76]

Silvestri'04 V [S]

Hammond [S]

Viviani [S]

Subtotal (I-squared = 32.4%, p = 0.027)

Finch [S]

Zobel [S101]

Stoutenbeek'87 SDD [S62]

Ulrich [S97]

author

favours intervention favours control

1.01 .03 .1 .3 1 3 10

BACT-ES: topical antibiotic methods

19

Non-antimicrobial

studies

Topical- antimicrobial

studies

Bacteremia 0.87;

0.72 – 1.06

0.69;

0.59 – 0.81

Pneumonia (VAP) 0.74;

0.69 – 0.79

0.48;

0.43 – 0.54

Infection prevention in ICUSummary odds ratios

20

Intervention groupControl group

Propensity for pneumonia

How the RCT works

Effect size

21

Study group

Intervention (no.) Control (no.)

Pneumonia

/ Bacteremia

+ ivap_n vap_n

- ivap_m vap_m

Infection prevention in ICUvap = ventilator associated pneumonia

Logit IGR = log(ivap_n/ ivap_m)

Logit CGR = log(vap_n/ vap_m)

22

10

20

30

40

50

60

70

80

90

I_gro

up V

AP

incid

ence (

%)

908070605040302010

C_group VAP incidence (%)

topical antibiotic_concurrent groups

Simplistic analysis of pneumonia prevention studies using metandi

10

20

30

40

50

60

70

80

90

I_gro

up V

AP

incid

ence (

%)

908070605040302010

C_group VAP incidence (%)

non-antibiotic groups

n = 52n = 177

metandiplot vap_n ivap_n vap_m ivap_m , legend(off) ylab( , ang(h)) title(Pneumonia)

metandiplot vap_n ivap_n vap_m ivap_m, yla(`lay', ang(h)) xla(`lax') yti("`yttl'") xti("`xttl'") legend(off)

Linear

scale

23

Electronic search terms

Ventilator associated pneumonia OR bacteremia

AND Mechanical ventilation OR Intensive care unit

AND Systematic review OR meta-analysis

Non-antibiotic Topical

antibiotic

None

8 systematic reviews or

meta-analyses

47

1

48

studie

s

98

10

108

studie

s

Observational

groups

N= 48 groups

48

intervention

Non-antibiotic:

N=217 groups

108

10

9

34

51

studies

17

Topical antibiotic:

Non-concurrent

N= 26 groups

14

1

2

Topical antibiotic:

Concurrent

N= 78 groups

38

4

0

control

Note, the numbers do not tally as some

systematic reviews and studies each

provided studies and groups in more than

one category, respectively.

Studies of infection prevention in ICU

1 2 3 4 5

24

Observation study design(no intervention under study; C = I)

PneumoniaBacteremia

Non-TA studies

NCC topical antibiotic studies

CC topical antibiotic studies

CC topical antibiotic studies + placebo

Ob

C

C

C

C

I

I

I

I

com

po

ne

nt

gro

up

s

0.5 1 2 3 5 10 20 30 40 50 60 70

percent of patients

Bacteremia incidence

Non-TA studies

NCC topical antibiotic studies

CC topical antibiotic studies

CC topical antibiotic studies + placebo

Ob

C

C

C

C

I

I

I

I

com

po

ne

nt

gro

up

s

1 2 3 5 10 20 30 40 50 60 70 80

percent of patients

Pneumonia incidence

1

2

3

4

5

25

Observation study design(no intervention under study; C = I)

Pneumonia

n = 48

Bacteremia

n = 39

1

2

5

10

20

40

50

60

80

I_g

roup

ba

cte

rem

ia in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group bacteremia incidence (%)

benchmark group

1

2

5

10

20

40

50

60

80

I_g

roup

ba

cte

rem

ia in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group bacteremia incidence (%)

benchmark group

twoway (scatter vlogodds ivlogodds if figure ==1, ms(+) msize(small) mcolor(blue) jitter (3)), yla(`la', ang(h))

xla(`la') yti("`yttl'") xti("`xttl'") legend(off) ti(benchmark group)

twoway (scatter blogodds iblogodds if figure ==1, ms(+) msize(small) mcolor(blue) jitter (3)), yla(`la', ang(h))

xla(`la') yti("`yttl'") xti("`xttl'") legend(off) ti(benchmark group)

1

26

Non-antibiotic methods for infection prevention

Pneumonia

n = 105

Bacteremia

n = 20

1

2

5

10

20

405060

80I_

gro

up

VA

P in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group VAP incidence (%)boundary constant = 4

Means centered

non-antibiotic methods

1

2

5

10

20

405060

80

I_g

roup

ba

cte

rem

ia in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group bacteremia incidence (%)boundary constant = 4

Means centered

non-antibiotic methods

ellip vlogodds ivlogodds if figure ==3, yla(`la', ang(h)) xla(`la') yti("`yttl'") xti("`xttl'") legend(off) plot(scatter vlogodds

ivlogodds if figure ==1, ms(+) msize(small) mcolor(blue) jitter (3)|| scatter vlogodds ivlogodds if figure ==3, ms(o) msize(small)

mcolor(black) || lfit vlogodds ivlogodds if figure ==3) legend(off) ti(non-antibiotic methods)

ellip blogodds iblogodds if figure ==3, yla(`la', ang(h)) xla(`la') yti("`yttl'") xti("`xttl'") legend(off) plot(scatter

blogodds iblogodds if figure ==1, ms(+) msize(small) mcolor(blue) jitter (3)|| scatter blogodds iblogodds if figure ==3, ms(o)

msize(small) mcolor(black) || lfit blogodds iblogodds if figure ==3) legend(off) ti(non-antibiotic methods)

2

27

Topical antibiotic methods for infection prevention

(Non Concurrent Control)

Pneumonia

n = 24

Bacteremia

n = 16

1

2

5

10

20

40

50

60

80

I_g

roup

ba

cte

rem

ia in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group bacteremia incidence (%)boundary constant = 4

Means centered

NCC antibiotic methods

1

2

5

10

20

4050

60

80I_

gro

up

VA

P in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group VAP incidence (%)boundary constant = 4

Means centered

NCC antibiotic methods

ellip blogodds iblogodds if figure ==5, yla(`la', ang(h)) xla(`la') yti("`yttl'") xti("`xttl'") legend(off)

plot(scatter blogodds iblogodds if figure ==1, ms(+) msize(small) mcolor(blue) jitter (3)|| scatter blogodds

iblogodds if figure ==5, ms(o) msize(small) mcolor(black) || lfit blogodds iblogodds if figure ==5) legend(off)

ti(NCC antibiotic methods)

3

28

Topical antibiotic methods for infection prevention

(Concurrent Control)

Pneumonia

n = 42

Bacteremia

n = 40

1

2

5

10

20

40

50

60

80

I_g

roup

VA

P in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group VAP incidence (%)boundary constant = 4

Means centered

CC antibiotic methods

1

2

5

10

20

40

50

60

80

I_g

roup

ba

cte

rem

ia in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group bacteremia incidence (%)boundary constant = 4

Means centered

CC antibiotic methods

ellip blogodds iblogodds if figure ==7, yla(`la', ang(h)) xla(`la') yti("`yttl'") xti("`xttl'") legend(off) plot(scatter

blogodds iblogodds if figure ==1, ms(+) msize(small) mcolor(blue) jitter (3)|| scatter blogodds iblogodds if figure ==7 &

plac==1, ms(o) msize(small) mcolor(black) || lfit blogodds iblogodds if figure ==7) legend(off) ti(CC antibiotic & topical

placebo)

4

29

Topical antibiotic methods for infection prevention (Concurrent Control

Topical placebo)

Pneumonia

n = 42

Bacteremia

n = 40

1

2

5

10

20

40

50

60

80

I_g

roup

ba

cte

rem

ia in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group bacteremia incidence (%)boundary constant = 4

Means centered

CC antibiotic & topical placebo

1

2

5

10

20

40

50

60

80

I_g

roup

VA

P in

cid

ence

(%

)

1 2 5 10 20 40 50 60 80

C_group VAP incidence (%)boundary constant = 4

Means centered

CC antibiotic & topical placebo

ellip blogodds iblogodds if figure ==7 & plac==1, yla(`la', ang(h)) xla(`la') yti("`yttl'") xti("`xttl'") legend(off)

plot(scatter blogodds iblogodds if figure ==1, ms(+) msize(small) mcolor(blue) jitter (3)|| scatter blogodds iblogodds if

figure ==7 & plac==1, ms(o) msize(small) mcolor(black) || lfit blogodds iblogodds if figure ==7 & plac==1) legend(off)

ti(CC antibiotic & topical placebo)

5

30

Patients (& ventilators)

a. Observation study design

• no study intervention

b. Non-antibiotic intervention

Control groupPatients (& ventilators)

Intervention groupPatients (& ventilators)

Control groupPatients (& ventilators)

Contextual

effects

Topic

al

place

bo

Intervention groupPatients (& ventilators)

Topical

antibiotic

c. Topical antibiotics • Non-concurrent study design

Control groupPatients (& ventilators)

Topical

antibiotic

Intervention groupPatients (& ventilators)

d. Topical antibiotics • Concurrent study design

1

2

3

45

31

Summary

• Meta-analysis capabilities in Stata• derivation of summary effect sizes

• a ‘visual’ of the relationships of

– component studies (as individual or sub-groups) to overall effect sizes.

– component groups within studies to overall effect sizes.

• Relationship of effect size to control group variability– A range of approaches (pro & con for each).

– Graphics within metan & metandi offer novel insights

– Ellipse versus linear regression

– “Tea leaf reading” or enabling the data to speak for themselves?