Cover Page The handle http://hdl.handle.net/1887/29692 holds various files of this Leiden University dissertation Author: Bonten, Tobias N. Title: Time for aspirin : blood pressure and reactivity Issue Date: 2014-11-13 Appendices Appendices Chapter 3, appendix table 1 Appendix table 1. Mean 24-hour, day- and night ambulatory blood pressure values (mmHg) according to time of aspirin administration in the secondary analysis population (n=150) Aspirin on awakening Aspirin at bedtime Mean difference (bedtime – awakening) [95% CI]* 24-hour SBP 125 ± 10 125 ± 9 0.0 [-1.1 to 1.1] 24-hour DBP 78 ± 8 77 ± 8 -0.4 [-1.2 to 0.3] Day SBP 129 ± 10 129 ± 10 0.1 [-1.2 to 1.3] Day DBP 81 ± 9 80 ± 8 -0.5 [-1.3 to 0.2] Night SBP 115 ± 12 115 ± 12 0.0 [-1.5 to 1.5] Night DBP 68 ± 10 68 ± 9 -0.2 [-1.2 to 0.7] *Mean difference and 95% CI obtained with paired t-tests. Values are mean ± standard deviation. SBP: systolic blood pressure; DBP: diastolic blood pressure; CI: confidence interval 115 116 Appendices Chapter 3, appendix table 2 Appendix table 2. Side effects and relation with timing of aspirin intake of subjects that did not complete study follow-up (n=26) Patient code Period of drop-out Timing of Aspirin intake at drop-out Reason drop-out Related to side effect of aspirin 105 1 At bedtime Stopped aspirin use after advise cardiologist No 113 1 On awakening Stomach pain after switch from evening intake to intake on awakening Yes 132 1 At bedtime Study participation too aggravating No 151 1 On awakening Withdrawal of consent to participate in other clinical trial No 173 1 At bedtime Study participation too aggravating No 180 1 At bedtime Study participation too aggravating No 250 1 On awakening Stomach pain after switch from evening intake to intake on awakening Yes 251 1 At bedtime Study participation too aggravating No 327 1 On awakening Study participation too aggravating No 329 1 At bedtime Stopped aspirin use after head trauma; advise of first aid physician No 365 1 At bedtime Study participation too aggravating No 436 1 On awakening Study participation too aggravating No 447 1 On awakening Study participation too aggravating No 455 1 At bedtime Study participation too aggravating No 462 1 At bedtime Study participation too aggravating No 203 2 At bedtime Study participation too aggravating No 271 2 At bedtime Study participation too aggravating No 334 2 On awakening Stopped aspirin use after advise cardiologist No 344 2 On awakening Study participation too aggravating No 366 2 On awakening Switch to vitamin k antagonist instead of aspirin after advise cardiologist No 368 2 On awakening Switch to vitamin k antagonist instead of aspirin after advise cardiologist No 387 2 At bedtime Switch to vitamin k antagonist instead of aspirin after advise cardiologist No 405 2 At bedtime Did not want to take aspirin at bedtime due to practical reasons No 417 2 On awakening Study participation too aggravating No 465 2 At bedtime Headache after switch from morning intake to intake at bedtime Possible 437 2 On awakening Study participation too aggravating No Appendices Chapter 3, appendix table 3 Appendix table 3. Self-reported side effects of randomized study subjects at baseline and subjects who completed study follow-up At Baseline (n=290), n (%) Dyspepsia 15 (5.2) During study follow-up (n=264), n (%) Aspirin on awakening Aspirin at bedtime p-value* 12 (4.5) 12 (4.5) 1.00 Nausea 8 (2.8) 4 (1.5) 9 (3.4) 0.18 Heartburn 27 (9.3) 16 (6.1) 20 (7.6) 0.50 Nose bleeding 13 (4.5) 9 (3.4) 6 (2.3) 0.55 Bruises 45 (15.5) 32 (12.1) 35 (13.3) 0.75 Bloody stool 4 (1.4) 5 (1.9) 5 (1.9) 1.00 *P-value obtained by McNemar’s test 117 4.4 (2.8) Morning peak, Mean (SD) 4.3 (3.0) 9.6 (5.1) 448.6 (66.6) 4.4 (2.8) 10.9 (4.9) 445.1 (63.3) 892.1 (34.5) 438.2 (54.3) 4394.7 (436.4) 2.6 (1.3) 5.2 (2.0) 421.7 (60.9) 851.1 (105.0) 429.6 (58.8) 4300.4 (454.2) Intention to treat Bedtime 2.6 (1.4) 5.2 (2.3) 424.8 (65.4) 858.2 (112.5) 433.9 (62.5) 4343.2 (479.4) 2.5 (1.1) 5.4 (2.1) 415 (51.9) 840.3 (31.9) 428.2 (56.8) 4289.8 (526.9) Per protocol Sensitivity -1.8 (-2.8;-0.8) -4.7 (-6.9;-2.5) -23.4 (-50.7;3.9) -31.3 (-88.2;25.6) -8.5 (-21.3;4.3) -79.4 (-229.4;70.4) Intention to treat PMA TRAP ADP Awakening 50.5 (16.6) 25.1 (8.3) Morning peak, Mean (SD) 55.5 (6.0) Morning peak, Mean (SD) Morning peak, AUC (SD) 110.2 (12.0) 15.2 (6.3) Morning peak, Mean (SD) Morning peak, AUC (SD) 30.5 (12.8) Morning peak, AUC (SD) 26.5 (7.6) 53.1 (15.3) 56.2 (5.8) 111.5 (11.5) 16.6 (5.5) 33.3 (11.3) 24.0 (9.0) 48.5 (18.3) 55.3 (5.6) 109.5 (11.5) 16.1 (6.5) 32.3 (13.2) Intention Per protocol Sensitivity to treat 22.1 (7.7) 44.6 (15.0) 56.0 (6.6) 112.1 (13.0) 16.0 (8.1) 31.6 (15.1) Intention to treat Bedtime 23.3 (7.7) 46.9 (15.1) 56.4 (6.6) 112.9 (13.1) 16.9 (8.3) 33.5 (15.3) 21.4 (7.5) 42.7 (14.7) 56.7 (6.9) 113.2 (13.7) 16.9 (8.4) 33.4 (15.6) Per protocol Sensitivity -1.9 (-2.9;-0.9) -5.6 (-8.2;-2.9) -29.5 (-55.7;-3.2) -51.8 (-105.4;1.8) -10.0 (-22.6;2.6) -104.9 (-320.8;110.9) Sensitivity -3.0 (-7.3;1.2) -5.9 (-13.8;2.0) 0.5 (-1.9;2.9) 1.9 (-2.5;6.4) -0.8 (-1.8;3.3) 1.1 (-3.2;5.3) Intention to treat -3.2 (-7.8;1.4) -6.2 (-14.8;2.4) 0.1 (-2.7;2.9) 1.4 (-3.8;6.6) 0.3 (-2.7;3.2) 0.2 (-4.7;5.1) Per protocol -2.6 (-7.2;2.0) -5.7 (-14.0;2.6) 1.4 (-1.1;3.9) 3.7 (-0.9;8.2) 0.8 (-2.5;4.0) 1.0 (-4.4;6.4) Sensitivity Difference, Bedtime – Awakening* (95% CI) -1.7 (-2.8;-0.6) -4.5 (-7.2;-1.7) -23.8 (-55.3;7.6) -26.7 (-96.4;37.0) -7.5 (-22.0;7.0) -69.4 (-237.4;98.6) Per protocol Difference, Bedtime – Awakening* (95% CI) Cox-1-independent assays – Surface CD62 (P-selectin) expression 9.9 (4.6) 445.1 (63.3) Morning peak, Mean (SD) Morning peak, AUC (SD) 882.4 (107.3) Morning peak, AUC (SD) STxB2 (ng/ml) 441.4 (56.1) 438.1 (54.1) Whole day, Mean (SD) 887.9 (113.4) 4412.6 (398.9) VerifyNow Whole day, AUC 4379.9 (ARU) (SD) (385.3) Intention Per protocol Sensitivity to treat Awakening Cox-1-dependent assays Supplemental Table 1. Effect of aspirin intake on awakening or at bedtime on Cox-1 dependent and non-Cox-1 dependent platelet reactivity. 118 Appendices Chapter 4, appendix table 19.6 (9.2) 9.6 (5.0) Morning peak, Mean (SD) 23.5 (4.7) Morning peak, Mean (SD) Morning peak, AUC (SD) 47.4 (7.9) 25.1 (3.6) Morning peak, Mean (SD) Morning peak, AUC (SD) 49.9 (6.4) Morning peak, AUC (SD) 22.5 (4.9) 42.4 (12.1) 9.9 (5.3) 20.1 (9.7) 23.2 (4.9) 46.8 (8.1) 25.0 (3.9) 49.6 (6.8) 22.8 (5.2) 43.6 (12.5) 10.8 (4.4) 21.6 (8.5) 24.7 (3.7) 49.2 (7.0) 26.0 (2.7) 51.5 (5.3) 22.5 (4.8) 40.8 (13.0) 10.4 (4.7) 20.2 (8.7) 25.4 (3.8) 50.4 (6.7) 26.6 (3.9) 52.7 (6.7) 22.7 (4.1) 42.5 (10.4) Intention to treat Bedtime 9.8 (4.8) 19.8 (9.3) 25.2 (3.9) 50.3 (6.6) 25.9 (2.9) 51.7 (5.1) 22.4 (3.2) 43.1 (9.3) 10.6 (5.1) 20.4 (9.6) 25.0 (4.2) 49.8 (7.4) 26.5 (4.2) 52.5 (7.2) 22.3 (4.4) 41.5 (10.3) Per protocol Sensitivity 0.8 (-2.7;4.3) 0.6 (-5.3;6.6) 1.9 (-1.8;5.6) 2.9 (-3.3;9.2) 1.5 (-1.6;4.7) 2.8 (-2.5;8.1) 0.1 (-3.4;3.7) 0.1 (-8.6;8.8) Intention to treat -0.1 (-3.8;3.5) -0.3 (-7.0;6.3) 2.0 (-2.0;6.0) 3.5 (-3.2;10.1) 0.9 (-2.2;4.0) 2.1 (-3.1;7.4) -0.4 (-3.9;3.1) -0.5 (-9.2;8.1) Per protocol -0.2 (-4.5;4.2) -1.3 (-8.5;5.9) 0.4 (-3.2;3.9) 0.6 (-6.0;7.2) 0.5 (-2.7;3.7) 1.0 (-4.7;6.7) -0.2 (-4.2;3.7) 0.7 (-10.1;11.5) Sensitivity Difference, Bedtime – Awakening* (95% CI) *Difference (Bedtime – Awakening): for AUC estimated by paired t-tests; Mean differences estimated by linear mixed model analysis. ARU: aspirin reaction units; AUC: area under the curve; STxB2: serum thromboxane B2; ADP: adenosine diphosphate; TRAP: Thrombin receptor agonist peptide; PMA: phorbol 12-myristate 13-acetate; FCA: flow cytometry based aggregation. PMA ADP TRAP Morning peak, Mean (SD) Ristocetin Morning peak, AUC (SD) Intention Per protocol Sensitivity to treat Awakening Cox-1-independent assays – Flow cytometry based aggregation (FCA) Appendices 119 120 Appendices Chapter 6, Appendix Methods 1 Overview of the complete search strategy per database. Results for search on June 1st 2013: Pubmed search strategy (331 hits) (“Platelet function Tests”[Mesh] OR “Platelet function Tests”[ti] OR “VerifyNow”[tiab] OR “PFA-100”[tiab] OR “multiple electrode aggregometry”[tiab] OR “light transmission aggregometry”[tiab] OR “serum thromboxane”[tiab] OR “Platelet Aggregation”[Majr] OR “Platelet Aggregation”[ti] OR “Platelet Aggregation Inhibitors”[Majr] OR “antiplatelet”[ti] OR “Platelet Adhesiveness”[Majr] OR “Platelet Adhesiveness”[ti] OR “Platelet Antiaggregant”[ti] OR “Platelet Antiaggregants”[ti]) AND (“adrenergic beta-antagonists”[Majr] OR “adrenergic beta-antagonists”[ti] OR “beta blockers”[ti] OR “beta-blockers”[ti] OR “betablockers”[ti] OR “beta blocker”[ti] OR “beta-blocker”[ti] OR “betablocker”[ti] OR “adrenergic beta-antagonists”[Pharmacological Action] OR “β blocker”[ti] OR “β-blocker”[ti] OR “β blockers”[ti] OR “β-blockers”[ti] OR “beta-Adrenergic Blocking”[ti]) Embase search strategy (734 hits) (“platelet function test*”.ti,ab. OR “platelet aggregation” .ti,ab. OR exp thrombocyte aggregation/ OR “VerifyNow”.ti,ab. OR “PFA-100”.ti,ab. OR “multiple electrode aggregometry”.ti,ab. OR “light transmission aggregometry”.ti,ab. OR “serum thromboxane”.ti,ab. OR “platelet adhesion”.ti,ab. OR exp thrombocyte adhesion/ OR antiplatelet*.ti,ab. OR “platelet adhesiveness”.ti,ab. OR “platelet antiaggregant*”.ti,ab.)AND (exp *beta adrenergic receptor blocking agent/ OR “adrenergic beta-antagonist*”.ti. OR “beta blocker*”.ti. OR “beta-blocker*”.ti. OR “betablocker*”.ti. OR “beta-Adrenergic Blocking”.ti.) Chapter 6, appendix methods 2222 Chapter 6, appendix methods Chapter 6, appendix methods Chapter methods Chapter26, 6,appendix appendix methods Chapter 6, appendix methods 2 Chapter 6, appendix methods 22methods x methods Chapter 6,6,appendix Chapter Appendix Methods 22 Appendices 121 Calculation of effect size estimates (SMDs) and standard errors (SEs). 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Formulas used SMDs and SEs for each study design: Study Design Effect size estimate (SMD) Standard error (SE) of SMD to calculate SMDs and SEs for each study design: Study Design Effect size estimate (SMD) Standard error (SE) of SMD Study Design Effect size estimate (SMD) Standard error (SE) of SMD Study Design Effect size estimate (SMD) Standard error (SE) of SMD Study Design Effect size (SMD) Standard Study Design Effect sizeestimate estimate (SMD) Standarderror error(SE) (SE)of ofSMD SMD Study Design estimate (SMD) Standard error (SE) of SMD Study Design Effect size estimate (SMD) Standard error (SE) of SMD Effect size estimate Study (SMD) Standard error (SE) ofEffect SMD sizeStandard Design Effect size estimate SMD Study Design Effect size(SMD) estimate (SMD)error (SE) of Standard error (SE) of SMD Unpaired Unpaired Unpaired Unpaired Unpaired Unpaired Unpaired Unpaired Unpaired Unpaired Two-group trial 𝑀𝑀 − 𝑀𝑀 Two-group trial 𝐷𝐷,𝑖𝑖 𝐷𝐷,𝑝𝑝 22 𝑀𝑀 − 𝑀𝑀 𝑀𝑀 − 𝑀𝑀 Two-group trial Two-group trial 𝐷𝐷,𝑖𝑖 𝐷𝐷,𝑝𝑝 𝑀𝑀 − 𝑀𝑀 𝐷𝐷,𝑖𝑖 − 𝐷𝐷,𝑝𝑝 𝑆𝑆𝑆𝑆𝑆𝑆 Two-group trial 𝐷𝐷,𝑖𝑖 𝐷𝐷,𝑝𝑝 Two-group 𝑀𝑀𝐷𝐷,𝑖𝑖 − 𝑀𝑀 𝑀𝑀𝐷𝐷,𝑝𝑝 𝑀𝑀𝐷𝐷,𝑖𝑖 𝑁𝑁 − 𝑀𝑀 𝑡𝑡𝑡𝑡𝑡𝑡 22 Two-group trial 22 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝐷𝐷,𝑖𝑖 − 𝐷𝐷,𝑝𝑝 𝑀𝑀 𝑀𝑀 𝑀𝑀𝐷𝐷,𝑖𝑖trial − 𝑀𝑀𝐷𝐷,𝑝𝑝 Two-group trial 𝑀𝑀 2 Two-group trial 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑡𝑡𝑡𝑡𝑡𝑡 𝐷𝐷,𝑝𝑝 𝐷𝐷,𝑖𝑖 𝐷𝐷,𝑝𝑝 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 + � 𝐷𝐷,𝑖𝑖 𝐷𝐷,𝑝𝑝 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑆𝑆𝑆𝑆𝑆𝑆 2 2 𝑆𝑆𝑆𝑆 𝑡𝑡𝑡𝑡𝑡𝑡 2 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆𝑆𝑆 𝑀𝑀𝐷𝐷,𝑖𝑖 − 𝑀𝑀 + + � � Two-group trial 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 𝑡𝑡𝑡𝑡𝑡𝑡 𝐷𝐷,𝑝𝑝 + 2 � 𝑡𝑡𝑡𝑡𝑡𝑡 + 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆 � 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑁𝑁 ∗ 𝑁𝑁 2(𝑁𝑁 − 2) + + � � 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑖𝑖 𝑝𝑝 𝑡𝑡𝑡𝑡𝑡𝑡 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 + � 𝑁𝑁 ∗ 𝑁𝑁 2(𝑁𝑁 − 2) 𝑁𝑁 ∗ 𝑁𝑁 2(𝑁𝑁 − 2) 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆 𝑡𝑡𝑡𝑡𝑡𝑡 + 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 � 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁𝑁𝑁𝑖𝑖𝑖𝑖𝑖𝑖𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑁𝑁𝑁𝑁𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 2(𝑁𝑁 2(𝑁𝑁 − 2) 𝑖𝑖∗∗∗𝑁𝑁 𝑡𝑡𝑡𝑡𝑡𝑡− 𝑡𝑡𝑡𝑡𝑡𝑡 2(𝑁𝑁 −2) 2)𝑁𝑁+ 2(𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 − 2) �𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 − 𝑖𝑖 ∗ 𝑁𝑁𝑝𝑝 𝑁𝑁 2(𝑁𝑁 2) 𝑁𝑁𝑖𝑖 ∗ 𝑁𝑁𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 2(𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 − 2) 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑁𝑁 𝑖𝑖𝑖𝑖𝑖𝑖 ∗ 𝑁𝑁𝑝𝑝𝑝𝑝 𝑡𝑡𝑡𝑡𝑡𝑡 𝑝𝑝 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁𝑖𝑖 ∗ 𝑁𝑁𝑝𝑝 2(𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 − 2) Cross-sectional study 𝑀𝑀 − 𝑀𝑀 Cross-sectional study 𝑒𝑒 − 𝑛𝑛𝑛𝑛 𝑀𝑀 𝑀𝑀 𝑀𝑀 − 𝑀𝑀 22 Cross-sectional study Cross-sectional study 𝑛𝑛𝑛𝑛 𝑀𝑀 − 𝑀𝑀 𝑛𝑛𝑛𝑛 𝑀𝑀 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 Cross-sectional study 𝑛𝑛𝑛𝑛 𝑀𝑀𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒− −𝑀𝑀 𝑀𝑀𝑛𝑛𝑛𝑛 𝑀𝑀𝑒𝑒 − 𝑀𝑀 Cross-sectional 𝑡𝑡𝑡𝑡𝑡𝑡 Cross-sectional study Cross-sectional study 22 𝑛𝑛𝑛𝑛 𝑛𝑛𝑛𝑛 𝑀𝑀 − 𝑀𝑀 22 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆𝑆𝑆 𝑀𝑀𝑒𝑒 − study 𝑀𝑀 Cross-sectional study 2 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑡𝑡𝑡𝑡𝑡𝑡 𝑛𝑛𝑛𝑛 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑒𝑒𝑆𝑆𝑆𝑆𝑛𝑛𝑛𝑛 𝑛𝑛𝑛𝑛 𝑛𝑛𝑛𝑛 � + 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑆𝑆𝑆𝑆𝑆𝑆 2 2 𝑡𝑡𝑡𝑡𝑡𝑡 2 𝑀𝑀 − 𝑀𝑀 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 � � 𝑆𝑆𝑆𝑆𝑆𝑆 Cross-sectional study𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 + + 𝑒𝑒 𝑛𝑛𝑛𝑛 𝑡𝑡𝑡𝑡𝑡𝑡 � 𝑛𝑛𝑛𝑛 𝑆𝑆𝑆𝑆 𝑛𝑛𝑛𝑛 + 2 � 𝑡𝑡𝑡𝑡𝑡𝑡 + 𝑁𝑁 ∗ 𝑁𝑁 2(𝑁𝑁 − 2) � � 𝑛𝑛𝑛𝑛 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 + + 𝑛𝑛𝑛𝑛 𝑁𝑁 𝑆𝑆𝑆𝑆𝑆𝑆 𝑒𝑒 𝑛𝑛𝑛𝑛 𝑡𝑡𝑡𝑡𝑡𝑡 � 𝑛𝑛𝑛𝑛 𝑛𝑛𝑛𝑛 𝑆𝑆𝑆𝑆 + 𝑁𝑁 ∗ 𝑁𝑁 2(𝑁𝑁 − 2) 𝑁𝑁 ∗ 𝑁𝑁 2(𝑁𝑁 − 2) � 𝑡𝑡𝑡𝑡𝑡𝑡 𝑆𝑆𝑆𝑆𝑛𝑛𝑛𝑛 + 𝑛𝑛𝑛𝑛 𝑛𝑛𝑛𝑛 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁𝑁𝑁𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒∗∗∗∗𝑁𝑁 𝑁𝑁𝑁𝑁𝑛𝑛𝑛𝑛 2(𝑁𝑁 − 2) 𝑛𝑛𝑛𝑛 𝑡𝑡𝑡𝑡𝑡𝑡− 𝑁𝑁 2(𝑁𝑁 𝑛𝑛𝑛𝑛 𝑛𝑛𝑛𝑛 𝑡𝑡𝑡𝑡𝑡𝑡 2(𝑁𝑁 −2) 2) 𝑁𝑁𝑒𝑒+∗ 𝑁𝑁𝑛𝑛𝑛𝑛 2(𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 − 2) � 𝑡𝑡𝑡𝑡𝑡𝑡 𝑛𝑛𝑛𝑛 𝑡𝑡𝑡𝑡𝑡𝑡 − 𝑁𝑁 2(𝑁𝑁 2) 𝑁𝑁𝑒𝑒 ∗ 𝑁𝑁𝑛𝑛𝑛𝑛 2(𝑁𝑁 𝑛𝑛𝑛𝑛 𝑡𝑡𝑡𝑡𝑡𝑡 − 2) 𝑆𝑆𝑆𝑆𝑛𝑛𝑛𝑛 𝑁𝑁𝑒𝑒 𝑒𝑒 𝑛𝑛𝑛𝑛 𝑡𝑡𝑡𝑡𝑡𝑡∗ 𝑁𝑁 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 2(𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 − 2) 𝑒𝑒 𝑛𝑛𝑛𝑛 Paired Paired Paired Paired Paired Paired Paired Paired Paired Paired One-group trial 𝑀𝑀 − 𝑀𝑀 One-group trial 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 𝑀𝑀 − 𝑀𝑀 𝑀𝑀 − 𝑀𝑀 22 One-group trial One-group trial 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 𝑀𝑀 − 𝑀𝑀 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝− 𝑝𝑝𝑝𝑝𝑝𝑝 One-group trial 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 One-group trial 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 −𝑀𝑀 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 −11 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆𝑆𝑆 One-group trial 22 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 − 𝑝𝑝𝑝𝑝𝑝𝑝 𝑀𝑀 𝑀𝑀 22 𝑆𝑆𝑆𝑆𝑆𝑆 1 𝑆𝑆𝑆𝑆𝑆𝑆 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 − 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝 One-group trial 𝑀𝑀 One-group trial 2 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 1 𝑆𝑆𝑆𝑆𝑆𝑆 1 𝑆𝑆𝑆𝑆𝑆𝑆 � 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 + 𝜌𝜌) 𝑆𝑆𝑆𝑆 1 𝑆𝑆𝑆𝑆𝑆𝑆 1− 𝑆𝑆𝑆𝑆𝑆𝑆 2 2 �2(1 2 × 𝑀𝑀 − 𝑀𝑀 𝑝𝑝𝑝𝑝𝑝𝑝 1 𝑆𝑆𝑆𝑆𝑆𝑆 � � One-group trial 1 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆𝑆𝑆 + × − 𝜌𝜌) + × − 𝜌𝜌) 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 �2(1 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 �2(1 � + × − 𝜌𝜌) 2 𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆 � 𝑝𝑝𝑝𝑝𝑝𝑝 �2(1 + × − 𝜌𝜌) 0.5 ∗ 𝑁𝑁 𝑁𝑁 �2(1 � � + × − 𝜌𝜌) 𝑝𝑝𝑝𝑝𝑝𝑝 + × �2(1 − 𝜌𝜌) 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 �2(1 𝑝𝑝𝑝𝑝𝑝𝑝 1 𝑆𝑆𝑆𝑆𝑆𝑆 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 � 𝑝𝑝𝑝𝑝𝑝𝑝 − 𝜌𝜌) 𝑁𝑁 𝑆𝑆𝑆𝑆 0.5 𝑁𝑁 𝑁𝑁 � 0.5 𝑁𝑁 + 𝑝𝑝𝑝𝑝𝑝𝑝 × �2(1 − 𝜌𝜌) 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 0.5 𝑁𝑁𝑁𝑁 𝑁𝑁 𝑡𝑡𝑡𝑡𝑡𝑡 + 𝑁𝑁 𝑡𝑡𝑡𝑡𝑡𝑡 × �2(1 ∗∗∗∗∗∗𝑁𝑁 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 0.5𝑝𝑝𝑝𝑝𝑝𝑝 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 0.5+∗ 𝑁𝑁 � × 𝑡𝑡𝑡𝑡𝑡𝑡 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝 0.5 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 �2(1 − 𝜌𝜌) 𝑡𝑡𝑡𝑡𝑡𝑡 0.5 𝑁𝑁 𝑁𝑁 0.5 ∗ 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑝𝑝𝑝𝑝𝑝𝑝 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 0.5 ∗ 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑀𝑀 − 𝑀𝑀 Cross-over trial 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 Cross-over trial 𝑀𝑀 − 𝑀𝑀 𝑀𝑀 − 𝑀𝑀 22 Cross-over trial Cross-over trial 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 𝑀𝑀 − 𝑀𝑀 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 𝑀𝑀 − 𝑀𝑀 1 𝑆𝑆𝑆𝑆𝑆𝑆 Cross-over trial 2 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 Cross-over trial 𝑀𝑀 − 𝑀𝑀 𝑀𝑀 − 𝑀𝑀 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 Cross-over trial 2 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 − 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 1 1 𝑆𝑆𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆𝑆𝑆 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 − 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝 Cross-over trial 𝑀𝑀𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 Cross-over trial 11 𝑆𝑆𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆𝑆𝑆 � 𝑝𝑝𝑝𝑝𝑝𝑝 𝜌𝜌) 𝑆𝑆𝑆𝑆 1 𝑝𝑝𝑝𝑝𝑝𝑝+ 𝑆𝑆𝑆𝑆𝑆𝑆2222 × 1− 𝑆𝑆𝑆𝑆𝑆𝑆 2 2 𝑀𝑀 �2(1 𝑝𝑝𝑝𝑝𝑝𝑝 1 𝑆𝑆𝑆𝑆𝑆𝑆 � � Cross-over trial 1 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆𝑆𝑆 + × − 𝜌𝜌) + × − 𝜌𝜌) 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 �2(1 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 − 𝑀𝑀 𝑝𝑝𝑝𝑝𝑝𝑝 �2(1 � + × − 𝜌𝜌) 2 𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆 � 𝑝𝑝𝑝𝑝𝑝𝑝 �2(1 + × − 𝜌𝜌) 𝑆𝑆𝑆𝑆 0.5 ∗ 𝑁𝑁 𝑁𝑁 �2(1 � � + × − 𝜌𝜌) 𝑝𝑝𝑝𝑝𝑝𝑝 + × �2(1 − 𝜌𝜌) 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 �2(1 𝑝𝑝𝑝𝑝𝑝𝑝 1 𝑆𝑆𝑆𝑆𝑆𝑆 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 � 𝑝𝑝𝑝𝑝𝑝𝑝 + × − 𝜌𝜌) 𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆 0.5 𝑁𝑁 𝑁𝑁 �2(1 � 0.5 𝑁𝑁 + 𝑝𝑝𝑝𝑝𝑝𝑝 × �2(1 − 𝜌𝜌) 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 0.5 𝑁𝑁𝑁𝑁 𝑁𝑁 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 0.5∗∗∗∗∗∗𝑁𝑁 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 0.5+∗ 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 ×𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 � 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝 0.5 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 �2(1 − 𝜌𝜌) 0.5 𝑁𝑁 𝑁𝑁 0.5 ∗ 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑝𝑝𝑝𝑝𝑝𝑝 𝑁𝑁𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 0.5 ∗ 𝑁𝑁 𝑁𝑁 𝑡𝑡𝑡𝑡𝑡𝑡 𝑡𝑡𝑡𝑡𝑡𝑡 SMD = standardized difference; MD,i–––pre-test = meanin difference post – pre-test in SMD ===standardized mean difference; M mean difference post intervention group; D,i = SMD standardized mean difference; M ===mean mean difference post pre-test in intervention group; SMD standardized mean difference; M mean difference post pre-test in intervention group; D,i D,i= SMD standardized mean difference; M mean difference post pre-test in intervention group; SMD standardized mean difference; M mean difference post in D,i SMD=M standardized mean difference; MD,i mean difference post pre-test inintervention intervention group; in intervention group; SMD = standardized difference; M =–––pre-test mean difference post – group; pre-test D,i==in D,i – SMD ===mean standardized mean difference; M mean difference post pre-test in intervention group; ference; difference post –group; pre-test intervention group; D,i D,i = mean D,i M = difference post – pre-test in placebo group; M = mean in exposed group; M = mean in = mean difference post – pre-test in placebo group; Me =group; intervention M D,p e ne SMD = standardized mean difference; MD,i ====mean difference post – pre-test in intervention D,p M ===mean mean difference post pre-test in placebo group; M mean in exposed group; M ===in mean in M mean difference post ––pre-test pre-test in placebo group; M ==mean mean in exposed group; M mean in D,p D,p= ne= M mean difference post pre-test in placebo group; M mean in exposed group; M mean in M difference post –=–––mean in group; M in M mean in D,p ne eeeeemean MD,p mean difference post pre-test inplacebo placebo group; M mean inexposed exposed group; Mnene mean in group; M mean difference post –M pre-test in placebo group;group; Me = mean exposed Mne = mean in D,p==in ne== D,p M mean difference post pre-test in placebo group; M = mean in exposed group; M mean in – pre-test placebo group; M = in exposed group; = in D,p e ne e ne D,p e ne non-exposed group; M post-test; ===mean = mean in non-exposed = mean post-test; exposed group; M post = pre MD,p mean =M mean difference post M –M pre-test in pre-test. placebo group; Me =group; mean M in post exposed group; Mne = mean in non-exposed group; ==in mean post-test; mean pre-test. non-exposed group; M ==mean mean post-test; M mean pre-test. post pre post= prene non-exposed group; M mean post-test; M = mean pre-test. non-exposed group; M mean post-test; M = mean pre-test. post pre post pre non-exposed group; M mean post-test; M = mean pre-test. non-exposed group; M post-test; M = mean pre-test. post pre= mean pre-test. pre Mpost = meanpre-test. post-test; Mpost meannon-exposed post-test; Mgroup; pre-test. pre pre = mean post pre post-test; M (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 2 = mean Mpre non-exposed group; Mpost = mean = mean222222pre-test. +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆 pre (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆 +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆22222 � (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆 SD = pooled standard deviation at baseline, calculated as (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 2 pooled (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 2 +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆22 (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖2 +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆 2 � � 2 +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆 2 SD = pooled standard deviation at baseline, calculated as SD = pooled standard deviation at baseline, calculated as (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆 � (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 pooled +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆 � pooled (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 SD = pooled standard deviation at baseline, calculated as +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆 SD ===pooled standard at calculated � pooled SDpooled pooled standard deviation atbaseline, baseline, calculated as SDdeviation standard deviationas at � baseline, calculated as � 2 +(𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑆𝑆 2 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 pooled pooled �= pooled SD pooled standard deviation at baseline, calculated as (𝑁𝑁𝑁𝑁−1)𝑆𝑆𝑆𝑆𝑖𝑖 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 viation at baseline, calculated as 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 pooled 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 pooled 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 SDpooled =non-exposed; pooled standard deviation baseline, calculated as � 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 SDpooled = pooled standard deviation atat baseline, calculated as 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 standard deviation in SD standard deviation pre-test. SD ne = pre= 𝑁𝑁𝑁𝑁𝑁𝑁𝑁𝑁 = standard deviation in non-exposed; SD = standard deviation pre-test. SD = standard deviation in non-exposed; SD = standard deviation pre-test. SD ne pre ne= pre = standard standard deviation in non-exposed; SD standard deviation pre-test. SD deviation in SD ====standard deviation SD ne pre standard deviation innon-exposed; SDpre standard deviation pre-test. SDnene =non-exposed; standard deviation in non-exposed; SDpre-test. = standard deviation pre-test. SDdeviation ne==standard pre ne pre in non-exposed; SD standard deviation pre-test. SD non-exposed; SD standard pre-test. pre pre= deviation presubjects in intervention NN total number of subjects ;;;N number of group; NNNp===number of totne= i= = standard deviation in non-exposed; SD = standard deviation pre-test. SD SD = standard deviation in non-exposed; SD = standard deviation = total number of subjects N = number of subjects in intervention group; number of N = total number of subjects N = number of subjects in intervention group; number of ne pre tot i tot i p==intervention N = total number of subjects ; N = number of subjects in intervention group; NNin number of ===total of ;;;NNNii =i=number subjects in intervention group; NN ne pre subjects tot p= tot pp totalnumber number ofsubjects subjects =number number of subjects in intervention group; numberof ofpre-test. Ntot = total ofof subjects ;N number of group; Np= number of p= number i= NN total number of subjects number of subjects in intervention group; number of s ; NN =totnumber of subjects in intervention group; N = number of ii p i tot p tot p subjects in placebo group; N =number of subjects in the exposed group; N = number of subjects in e =number neintervention N = total number of subjects ; N = number of subjects in group; Npgroup; =in number subjects in placebo group; N of subjects in the exposed group; N = number of subjects subjects in placebo group; N =number of subjects in the exposed group; N = number of subjects in = total number of subjects ; N = number of subjects in intervention Np=ofof subjects in N tot i ee=number ne e=number ne subjects in placebo group; N of subjects in the exposed group; N = number of subjects in subjects in placebo group; N of subjects in the exposed group; N = number of subjects in totsubjects i ne e ne subjects in placebo group; N =number of subjects in the exposed group; N = number of subjects in= number in placebo group; N =number of subjects in the exposed group; N e=number ne e ne subjects in placebo group; N of subjects in the exposed group; N = number of subjects in =number of subjects in the exposed group; N = number of subjects in e ne ne e ne non-exposed group. subjects in placebo group;inNplacebo =number of subjects in the exposed group; Nne=exposed numbergroup; of subjects in non-exposed group. non-exposed group. of subjects in the of subjects group; Ne=number non-exposed group. non-exposed non-exposedgroup. group.number non-exposed group. e non-exposed group. non-exposed group. of subjects in non-exposed group. Nne= number 2 2 𝑆𝑆𝑆𝑆 22+ 22 22− 𝑆𝑆𝑆𝑆 2 𝑆𝑆𝑆𝑆 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 222 222 − 𝑆𝑆𝑆𝑆 ++𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 22+ 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 2 2 +SD 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 −− 𝑆𝑆𝑆𝑆 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 𝑆𝑆𝑆𝑆 2 of the ρρρ2==+=correlation, calculated as 2− 𝑝𝑝𝑝𝑝𝑝𝑝 22+ 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 2 𝑆𝑆𝑆𝑆 +𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 −𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 𝑆𝑆𝑆𝑆 − 𝑆𝑆𝑆𝑆𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑2 deviation 𝑝𝑝𝑝𝑝𝑝𝑝 2 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 diff = 2 𝑆𝑆𝑆𝑆with 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 𝑆𝑆𝑆𝑆 − 𝑆𝑆𝑆𝑆 with SD ====standard standard deviation of the correlation, calculated as with SD standard deviation of the correlation, calculated as with standarddeviation devia- of the ρ =ρcorrelation, calculated as 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝 +𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 −𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 ∗∗2𝑆𝑆𝑆𝑆 222∗∗+ diff 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 diff= with SD standard deviation of the ρρ====correlation, correlation, calculated as 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 − 𝑆𝑆𝑆𝑆𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 2 𝑝𝑝𝑝𝑝𝑝𝑝 2 SD standard deviation ρρ calculated as 𝑝𝑝𝑝𝑝𝑝𝑝 2 + 𝑆𝑆𝑆𝑆with 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 diff 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 diff diff with SD standard deviation ofthe the correlation, calculated as with SD SDof == standard = correlation, calculated as 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 ∗ 𝑆𝑆𝑆𝑆 2 ∗ 𝑆𝑆𝑆𝑆 diff 𝑆𝑆𝑆𝑆 − 𝑆𝑆𝑆𝑆 diff with SD = standard deviation of the correlation, calculated as 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝∗∗∗𝑆𝑆𝑆𝑆 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑆𝑆𝑆𝑆 22standard 𝑆𝑆𝑆𝑆 𝑝𝑝𝑝𝑝𝑝𝑝 with SD deviation of the 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 ∗∗∗∗𝑆𝑆𝑆𝑆 diff 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 diff =22 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 ∗ 𝑆𝑆𝑆𝑆 2 ∗ 𝑆𝑆𝑆𝑆 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 diff 𝑝𝑝𝑝𝑝𝑝𝑝∗ 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝with SD 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 ∗ 𝑆𝑆𝑆𝑆 2 ∗ 𝑆𝑆𝑆𝑆 = standard deviation of the ρ = correlation, calculated as 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 ∗ 𝑆𝑆𝑆𝑆 2 ∗ 𝑆𝑆𝑆𝑆 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 diff tion of the differences. 𝑝𝑝𝑝𝑝𝑝𝑝 𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 differences. 2 ∗ 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝 ∗ 𝑆𝑆𝑆𝑆𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝 differences. differences. differences. differences. differences. differences. differences. assuming equal variances overthe treatment If not SD reported, we calculated SDpreover IfIfIfnot reported, we calculated equal variances treatment periods and using pre assuming differences. not reported, we calculated SD assuming equal variances over treatment periods and using the not reported, we calculated SD assuming equal variances over treatment periods and using the pre preassuming IfIfnot not reported, we calculated SD assuming equal variances over treatment periods and using the reported, we calculated SD equal over treatment periods the pre not reported, wevariances calculated SDpre assuming equalvariances variances over treatment periodsand andusing using the periods and using the If notover reported, we calculated SDpre assuming equal variances over treatment pre If not reported, we calculated SD assuming equal variances over treatment periods and using the d SDIfpre assuming equal treatment periods and using the pre 2 pre and using the mean of the other included paired studies (mean 𝑆𝑆𝑆𝑆 If notperiods reported, we calculated SDprecorrelation assuming equal variances over treatment and using the 2 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑periods 22 22 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 � 𝑆𝑆𝑆𝑆 22 mean correlation of the other included paired studies (mean 0.54): SD 𝑆𝑆𝑆𝑆 𝑆𝑆𝑆𝑆𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 2 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 pre = 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 � � 𝑆𝑆𝑆𝑆 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑2 𝑆𝑆𝑆𝑆𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑correlation = mean correlation of the other included paired studies (mean correlation 0.54): SD = mean correlation of the other included paired studies (mean correlation 0.54): SD 𝑆𝑆𝑆𝑆 � 2(1−𝜌𝜌) pre 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 pre � = mean correlation of the other included paired studies (mean correlation 0.54): SD = correlation 0.54): SD = mean correlation of the other included paired studies (mean correlation 0.54): SD � 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 pre meancorrelation correlation ofthe the other includedpaired paired studies (meancorrelation correlation 0.54): SDpre = 2� mean correlation ofprethestudies other included paired studies (mean 2(1−𝜌𝜌) 2(1−𝜌𝜌) 0.54): SD 𝑆𝑆𝑆𝑆pre precorrelation ==�2(1−𝜌𝜌) mean of other included (mean 0.54): SD 2(1−𝜌𝜌) SD r included paired studies (mean correlation 0.54): 𝑑𝑑𝑑𝑑𝑑𝑑𝑑𝑑 2(1−𝜌𝜌) pre pre = � 2(1−𝜌𝜌) pre 2(1−𝜌𝜌) 2(1−𝜌𝜌) studies (mean correlation 0.54): mean correlation of the other included paired 2(1−𝜌𝜌) SDpre = � 2(1−𝜌𝜌) Author Vlachakis Frishman Mehta Mehta Frishman Lote study1 Lote study2 Lote study3 Leon Mehta Thaulow study1 Thaulow study2 Thaulow study3 Campbell Markel Ref 1 2 3 4 5 6 6 6 7 8 9 9 9 10 11 1983 1981 1981 1981 1981 1979 1978 1978 1978 1978 1978 1978 1978 1974 1980 Year Population N (% male) CAD CAD CAD 43 (91) 16 (63) cross-over trial Hypertension 14 (100) 1-group trial Hypertension 8 (ns) 2-group trial Previous MI 2-group trial Healthy 16 (63) 28 (ns) 4 (ns) Hypertension 4 (100) Hypertension 4 (100) 2-group trial Healthy crosssectional 20 (ns) 16 (ns) 18 (ns) 19 (70) Hypertension 5 (80) 1-group trial Healthy cross-over trial cross-over trial cross-over trial 2-group trial CAD crosssectional crosssectional 2-group trial CAD 1-group trial Hypertension 16 (75) Design Appendix Table 1 Characteristics of all included studies 42-58 21-63 41-76 23-37 23-37 41-64 34 30-45 30-45 30-45 52 46-64 57 54 54 400 200 5 10 Atenolol 100 Propranolol 320 Timolol Propranolol 40 Timolol Propranolol 20 Propranolol 160 Propranolol 80 Labetalol Labetalol Propranolol 40 Propranolol 80 Propranolol 80 Propranolol 40 4 wks 4 wks > 1 yr once once ns 2d 2 wks 2 wks 2 wks 50 wks ns ns 4 wks 8 wks Dose Duration (mg)* Propranolol 60 Age mean β-blocker or range (yrs) Coll, ADP, Epi Thromb ADP ADP ADP ADP, Epi Coll, ADP, Epi Coll, ADP, Epi Coll, ADP, Epi Coll, ADP, Epi ADP ADP, Epi ADP, Epi ADP ADP Aggregation agonist (LTA) AUC, mg Threshold concentration Threshold concentration Threshold concentration Threshold concentration % platelet aggregation % light transmittance % platelet aggregation % platelet aggregation % platelet aggregation Threshold concentration % platelet aggregation % platelet aggregation Threshold concentration Threshold concentration Outcome Measure 122 Appendices Chapter 6, Appendix table Kirch Ring Winther study1 Winther study2 Davi Willich Gleerup Pamphilon Nagakawa Lin Ding Giugliano Patki Mugellini study1 Mugellini study2 13 14 15 15 16 17 18 19 20 21 22 23 24 25 25 2005 2005 1998 1998 1994 1991 1990 1989 1989 1989 1988 1988 1988 1987 1986 1984 Healthy 9 (100) CAD CAD Healthy 10 (100) 10 (100) 5 (100) 10 (80) cross-over trial cross-over trial 30 (43) Hypertension 30 (47) DM 1-group trial Hypertension 6 (83) 8 (75) Hypertension 30 (57) 2-group trial DM cross-over trial 2-group trial Hypertension 25 (80) 1-group trial Hypertension 11 (27) 8 (ns) Hypertension 10 (80) CAD 1-group trial Healthy cross-over trial cross-over trial 2-group trial Hypertension 12 (ns) cross-over trial cross-over trial cross-over trial 1-group trial Hypertension 9 (ns) cross-over trial 74 75 47 53 59 44 69 18-37 54 52-77 >60 60 60 28-32 51 33 100 10 5 600 20 Atenolol Atenolol Atenolol Carvedilol 50 50 50 25 Propranolol 75 Labetalol Carvedilol Propranolol 160 Timolol Metoprolol 200 Propranolol 80 Timolol Metoprolol 100 Propranolol 40 Atenolol Metoprolol 100 6 wks 6 wks 1 wks 12 wks 10 wks 4 wks 8 wks once 2 wks 9d 1 wks 2 wks 2 wks once 12 wks 3 wks Threshold concentration Threshold concentration Threshold concentration Threshold concentration Threshold concentration % platelet aggregation AUC, cm²/min Threshold concentration % light transmittance % platelet aggregation ADP, Coll ADP, Coll ADP ADP Delta T-max% Delta T-max% % platelet inhibition % platelet aggregation Coll, ADP, AA, Epi max. amplitude Coll, ADP, Epi AA Coll, ADP, AA, Epi Angle Slope ADP ADP, Epi ADP, Coll, AA ADP ADP ADP, Epi ADP, Coll ADP, Thromb, AA, Epi CAD: coronary artery disease; DM: diabetes mellitus; MI: myocardial infarction; N: total number of patients; yrs: years; mg: milligrams; wks: weeks; d: days; yr: years; LTA: light transmission aggregometry; Coll: collagen; ADP: adenosine diphosphate; Epi: epinephrine; AA: arachidonic acid; Thromb: thrombine; ns: not specified; * When studies used a run-in period for beta-blocker dosage titration, the final reached dose of the beta-blocker or the mean dose was used. Cortellaro 12 Appendices 123 124 Appendices Chapter 6, Appendix figure 1 Risk of bias assessment for clinical trials (n=28) Random sequence generation Allocation concealment Blinding of participants and personnel Blinding of outcome assessment Incomplete outcome data Selective reporting Reporting on carry−over effects Presence of carry−over A 0 20 40 percent 60 80 100 Risk of bias assessment for observational studies (n=3) Random sequence generation Allocation concealment Blinding of participants and personnel Blinding of outcome assessment Incomplete outcome data Selective reporting Reporting in−and exclusion criteria Control for confounding factors B 0 20 40 percent 60 80 Low High Unclear Not applicable 100 Appendix figure 1 – Risk of bias assessment. Methodological quality graphs: review authors’ judgements about each methodological quality item presented across included trials (panel a) and observational studies (panel b). Appendices Chapter 6, Appendix figure 2 Author Year Standard error SMD SMD, random effects (95% CI) Ding Mugellini_study2 Mugellini_study1 Thaulow_study3 Markel Vlachakis Mehta Nagakawa Lin Winther_33_study1 Willich Gleerup Kirch Cortellaro Pamphilon Guigliano Thaulow_study2 Thaulow_study1 Davi Winther_33_study2 Ring Patki Mehta Frishman Lote_study1 Mehta Leon Lote_study2 Lote_study3 Frishman Campbell 1994 2005 2005 1981 1983 1980 1979 1990 1991 1988 1989 1989 1986 1984 1989 1998 1981 1981 1988 1988 1987 1998 1978 1974 1978 1978 1978 1978 1978 1978 1981 .25 .26 .27 .31 .34 .38 .4 .41 .42 .45 .45 .46 .49 .5 .51 .51 .52 .52 .58 .59 .6 .62 .63 .64 .7 .72 .73 .77 .91 1.19 2.75 −0.00 (−0.49, 0.49) −0.03 (−0.38, 0.33) −0.15 (−0.44, 0.15) −0.12 (−0.38, 0.14) −0.11 (−0.35, 0.14) −0.17 (−0.40, 0.07) −0.23 (−0.48, 0.01) −0.21 (−0.43, 0.01) −0.23 (−0.44, −0.03) −0.21 (−0.41, −0.01) −0.20 (−0.40, −0.00) −0.17 (−0.36, 0.02) −0.17 (−0.36, 0.02) −0.17 (−0.35, 0.02) −0.16 (−0.35, 0.02) −0.17 (−0.35, 0.01) −0.18 (−0.36, −0.00) −0.18 (−0.36, −0.01) −0.18 (−0.35, −0.01) −0.15 (−0.32, 0.02) −0.18 (−0.36, −0.00) −0.19 (−0.36, −0.02) −0.24 (−0.44, −0.04) −0.31 (−0.54, −0.07) −0.32 (−0.55, −0.09) −0.39 (−0.65, −0.13) −0.39 (−0.65, −0.14) −0.40 (−0.65, −0.15) −0.41 (−0.66, −0.16) −0.51 (−0.80, −0.22) −0.54 (−0.84, −0.24) −1.5 Decreases 0 1.5 Increases Platelet aggregation Appendix figure 2 – Cumulative meta-analysis based on study precision. 125 126 Appendices Chapter 6, Appendix references 1.Vlachakis ND, Aledort L. 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