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Table.2 The percentage of times each of the baseline characteristics was balanced across each of the 1000 randomizations schemes in the trial population

From: Simple compared to covariate-constrained randomization methods in balancing baseline characteristics: a case study of randomly allocating 72 hemodialysis centers in a cluster trial

Baseline characteristic

Value

Constrained randomization method

Unrestricted/simple

Prognostic baseline characteristics

Principal components

Center size

Mean ± standard deviation

32.9%

41.8%

38.7%

Composite outcome of CV-related death and major CV-related hospitalization

Rate (per 100 person-year)

32.5%

36.2%

33.5%

Age (years)

Mean ± standard deviation

95.3%

99.8%

99.2%

< 65

97.8%

99.7%

99.9%

65 to 74

100.0%

100.0%

100.0%

75 to 84

100.0%

100.0%

100.0%

85 to 105

99.5%

100.0%

99.9%

Sex

Male

100.0%

100.0%

100.0%

Living in a rural area

Yes

63.0%

84.2%

65.8%

Etiology for end-stage kidney disease

Diabetes

93.0%

94.5%

95.0%

Glomerulonephritis/autoimmune diseases

96.3%

100.0%

99.5%

Drug-induced nephropathy

100.0%

99.9%

100.0%

Polycystic kidney disease

100.0%

100.0%

100.0%

Renal vascular disease

97.5%

97.6%

96.7%

Other

88.3%

91.9%

91.6%

Race

Asian

75.0%

81.3%

88.1%

Black

73.4%

95.9%

91.9%

White

45.6%

64.0%

90.2%

Other

56.6%

65.7%

77.5%

Unknown

93.2%

93.7%

93.6%

First dialysis modality

Home hemodialysis

100.0%

99.8%

99.9%

In-center hemodialysis

97.8%

98.6%

99.9%

Peritoneal dialysis

97.4%

98.7%

99.8%

First vascular access used at dialysis start

AV graft

99.9%

100.0%

100.0%

Fistula

98.9%

99.1%

99.4%

Catheter

93.5%

96.2%

99.4%

PD catheter

98.8%

99.0%

100.0%

Unknown

92.4%

93.8%

94.3%

Most recent vascular access before the index date

AV graft

98.7%

99.8%

98.9%

Fistula

91.9%

94.8%

97.7%

Catheter

89.9%

94.0%

97.4%

Patients 65+ years in ODB in the 6 months prior to index date

Yes

97.5%

99.3%

99.4%

Unique hypertensive drugs 6 months before the index date

Mean ± standard deviation

97.1%

99.9%

99.5%

Prescribed hypertensive drugs

Angiotensin-converting enzyme (ACE) inhibitors

99.4%

99.3%

99.5%

Angiotensin II receptor blocker

90.7%

96.1%

96.9%

Beta-blockers

99.7%

100.0%

99.9%

Calcium channel blocker

98.1%

100.0%

99.6%

Diuretics

91.9%

97.0%

95.6%

CABG/PCI

Yes

99.4%

99.5%

100.0%

Heart failure

Yes

96.8%

100.0%

99.8%

Diabetes mellitus

Yes

99.0%

100.0%

100.0%

Ischemic stroke

Yes

100.0%

100.0%

100.0%

Lower extremity amputation

Yes

99.9%

100.0%

100.0%

Lung disease (COPD)

Yes

99.0%

99.6%

100.0%

Myocardial infarction

Yes

99.2%

100.0%

100.0%

Major cancer

Yes

100.0%

100.0%

100.0%

Peripheral vascular disease

Yes

90.7%

97.2%

91.4%

Modified Charlson comorbidity Score

Mean ± standard deviation

96.8%

99.9%

100.0%

2

97.7%

100.0%

100.0%

3

100.0%

100.0%

100.0%

4

100.0%

100.0%

100.0%

5+

98.9%

100.0%

100.0%

Having a kidney transplant before the index date

Yes

100.0%

100.0%

100.0%

Number of hospital admissions in the year before the index date

Mean ± standard deviation

93.9%

98.4%

98.4%

0

78.4%

76.4%

81.1%

1 to 3

99.5%

99.6%

99.9%

4 to 6

99.4%

99.6%

99.5%

7 to 9

100.0%

99.9%

100.0%

10+

92.1%

92.0%

94.6%

Long term care facility utilization in the year before the index date

Yes

81.3%

86.6%

86.1%

Time since the first date on dialysis (days)

Mean ± standard deviation

88.1%

94.0%

94.4%