ISV.NIS: Test for Non-Inferiority/Superiority of Intra-Subject...
In TrialSize: R Functions for Chapter 3,4,6,7,9,10,11,12,14,15 of Sample Size Calculation in Clinical Research
Description
Usage
Arguments
References
Examples
Description
the ratio = within-subject variance of treatment T / within-subject variance of treatment R
H0: the ratio ≥ δ
Ha: the ratio < δ
if δ < 1, the rejection of Null Hypothesis indicates the superiority of the test drug over the reference for the intra-subject variability;
if δ > 1, the rejection of the null hypothesis implies the non-inferiority of the test drug against the reference for the intra-subject variability; .
Usage
1
Arguments
alpha
significance level
beta
power = 1-beta
sigma1
within-subject variance of treatment 1
sigma2
within-subject variance of treatment 2
m
for each subject, there are m replicates.
margin
margin=delta, the true ratio of sigma1/sigma2
References
Chow SC, Shao J, Wang H. Sample Size Calculation in Clinical Research. New York: Marcel Dekker, 2003
Examples
1
2
Example.9.1.1<-ISV.NIS(0.05,0.2,0.3^2,0.45^2,3,1.1)
Example.9.1.1
Example output
[1] 0.01315789
[1] 0.06305365
[1] 0.1132148
[1] 0.1566804
[1] 0.1939074
[1] 0.2260701
[1] 0.2541857
[1] 0.2790407
[1] 0.3012328
[1] 0.3212196
[1] 0.3393561
[1] 0.3559218
[1] 0.37114
[1] 0.3851912
[1] 0.3982234
[1] 0.4103592
[1] 0.4217009
[1] 0.4323352
[1] 0.4423356
[1] 0.4517653
[1] 0.4606787
[1] 0.4691231
[1] 0.47714
[1] 0.4847655
[1] 0.4920319
[1] 0.4989675
[1] 0.5055975
[1] 0.5119448
[1] 0.5180294
[1] 0.5238698
[1] 0.5294824
[1] 0.5348823
[1] 0.5400829
[1] 0.5450967
[1] 0.549935
[1] 0.5546081
[1] 0.5591256
[1] 0.5634962
[1] 0.567728
[1] 0.5718283
[1] 0.5758042
[1] 0.5796619
[1] 0.5834074
[1] 0.5870463
[1] 0.5905835
[1] 0.594024
[1] 0.5973722
[1] 0.6006323
[1] 0.6038081
[1] 0.6069035
[1] 0.6099217
[1] 0.6128662
[1] 0.6157398
[1] 0.6185455
[1] 0.621286
[1] 0.6239639
[1] 0.6265816
[1] 0.6291413
[1] 0.6316453
[1] 0.6340955
[1] 0.636494
[1] 0.6388426
[1] 0.641143
[1] 0.6433969
[1] 0.6456059
[1] 0.6477715
[1] 0.6498952
[1] 0.6519783
[1] 0.6540221
[1] 0.6560279
[1] 0.6579969
[1] 0.6599302
[1] 0.6618289
[1] 0.6636941
[1] 0.6655267
[1] 0.6673278
[1] 0.6690982
[1] 0.6708388
[1] 0.6725505
[1] 0.674234
[1] 0.6758903
[1] 0.6775199
[1] 0.6791237
[1] 0.6807022
[1] 0.6822563
[1] 0.6837866
[1] 0.6852935
[1] 0.6867779
[1] 0.6882401
[1] 0.6896809
[1] 0.6911006
[1] 0.6924999
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[1] 0.6952391
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[1] 0.6979021
[1] 0.6992062
[1] 0.7004926
[1] 0.7017617
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[1] 0.7042495
[1] 0.705469
[1] 0.7066726
[1] 0.7078608
[1] 0.7090338
[1] 0.7101921
[1] 0.7113359
[1] 0.7124655
[1] 0.7135812
[1] 0.7146833
[1] 0.7157721
[1] 0.7168478
[1] 0.7179108
[1] 0.7189612
[1] 0.7199994
[1] 0.7210255
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[1] 0.7240341
[1] 0.7250144
[1] 0.7259837
[1] 0.7269424
[1] 0.7278906
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[1] 0.7297561
[1] 0.7306739
[1] 0.7315819
[1] 0.7324803
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[1] 0.7368344
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[1] 0.7409727
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[1] 0.8945906
[1] 0.8946405
[1] 0.8946904
[1] 0.8947402
NULL
TrialSize documentation built on July 8, 2020, 7:19 p.m.
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
Description Usage Arguments References Examples
Description
the ratio = within-subject variance of treatment T / within-subject variance of treatment R
H0: the ratio ≥ δ
Ha: the ratio < δ
if δ < 1, the rejection of Null Hypothesis indicates the superiority of the test drug over the reference for the intra-subject variability;
if δ > 1, the rejection of the null hypothesis implies the non-inferiority of the test drug against the reference for the intra-subject variability; .
Usage
1 |
Arguments
alpha |
significance level |
beta |
power = 1-beta |
sigma1 |
within-subject variance of treatment 1 |
sigma2 |
within-subject variance of treatment 2 |
m |
for each subject, there are m replicates. |
margin |
margin=delta, the true ratio of sigma1/sigma2 |
References
Chow SC, Shao J, Wang H. Sample Size Calculation in Clinical Research. New York: Marcel Dekker, 2003
Examples
1 2 | Example.9.1.1<-ISV.NIS(0.05,0.2,0.3^2,0.45^2,3,1.1)
Example.9.1.1
|
Example output
[1] 0.01315789
[1] 0.06305365
[1] 0.1132148
[1] 0.1566804
[1] 0.1939074
[1] 0.2260701
[1] 0.2541857
[1] 0.2790407
[1] 0.3012328
[1] 0.3212196
[1] 0.3393561
[1] 0.3559218
[1] 0.37114
[1] 0.3851912
[1] 0.3982234
[1] 0.4103592
[1] 0.4217009
[1] 0.4323352
[1] 0.4423356
[1] 0.4517653
[1] 0.4606787
[1] 0.4691231
[1] 0.47714
[1] 0.4847655
[1] 0.4920319
[1] 0.4989675
[1] 0.5055975
[1] 0.5119448
[1] 0.5180294
[1] 0.5238698
[1] 0.5294824
[1] 0.5348823
[1] 0.5400829
[1] 0.5450967
[1] 0.549935
[1] 0.5546081
[1] 0.5591256
[1] 0.5634962
[1] 0.567728
[1] 0.5718283
[1] 0.5758042
[1] 0.5796619
[1] 0.5834074
[1] 0.5870463
[1] 0.5905835
[1] 0.594024
[1] 0.5973722
[1] 0.6006323
[1] 0.6038081
[1] 0.6069035
[1] 0.6099217
[1] 0.6128662
[1] 0.6157398
[1] 0.6185455
[1] 0.621286
[1] 0.6239639
[1] 0.6265816
[1] 0.6291413
[1] 0.6316453
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[1] 0.636494
[1] 0.6388426
[1] 0.641143
[1] 0.6433969
[1] 0.6456059
[1] 0.6477715
[1] 0.6498952
[1] 0.6519783
[1] 0.6540221
[1] 0.6560279
[1] 0.6579969
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[1] 0.6618289
[1] 0.6636941
[1] 0.6655267
[1] 0.6673278
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[1] 0.6725505
[1] 0.674234
[1] 0.6758903
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[1] 0.6852935
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[1] 0.6911006
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[1] 0.6992062
[1] 0.7004926
[1] 0.7017617
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[1] 0.705469
[1] 0.7066726
[1] 0.7078608
[1] 0.7090338
[1] 0.7101921
[1] 0.7113359
[1] 0.7124655
[1] 0.7135812
[1] 0.7146833
[1] 0.7157721
[1] 0.7168478
[1] 0.7179108
[1] 0.7189612
[1] 0.7199994
[1] 0.7210255
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[1] 0.7240341
[1] 0.7250144
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[1] 0.7269424
[1] 0.7278906
[1] 0.7288284
[1] 0.7297561
[1] 0.7306739
[1] 0.7315819
[1] 0.7324803
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[1] 0.7351197
[1] 0.7359815
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[1] 0.7385146
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[1] 0.7409727
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