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Sample size
calculations
Dr. Mohamed M. Omran
Associated prof. of Biochemistry
Biochemistry department
Faculty of science
Helwan University
Bio-statistical
analysis
in Clinical
Research
Sample size
calculation
Outlines
1. What is biostatics?
2. Types of data variables
3. Data inputs
4. Normal distribution
5. P value
6. Biostatics tests
7. 95 % confidence interval
8. Correlation
9. Diagnostic performances
10. sample size calculation
The null hypothesis that there is no significant difference
between specified populations, any observed difference being
due to sampling or experimental error.
P Values • The probability that any observation is
due to chance alone assuming that the
null hypothesis is true
• Typically, an estimate that has a p
value of 0.05 or less is considered
to be “statistically significant” or
unlikely to occur due to chance
alone.
• The P value used is an arbitrary
value
• P value of 0.05 equals 1 in 20
chance
• P value of 0.01 equals 1 in
100 chance
• P value of 0.001 equals 1 in
1000 chance.
Normal distribution
(when group individuals less than 30 )
• Most of the biological variables usually cluster around a central value, with
symmetrical positive and negative deviations about this point. The standard
normal distribution curve is a symmetrical bell-shaped.
• In a normal distribution curve, about 68% of the scores are within 1 SD of the
mean.
• Around 95% of the scores are within 2 SDs of the mean and 99% within 3 SDs
of the Mean.
Parametric
Non- Parametric
Comparison between parametric and nonparametric tests
One way ENOVA
1. Bonferroni is the powerful tests
(Equal and non equal groups)
2. Tukey (equal groups)
3. Scheffe (unequal groups)
McHugh, M. L. (2011). Multiple comparison analysis testing in ANOVA. Biochemia
medica: Biochemia medica, 21(3), 203-209.
Comparing the two
OR and RR are usually
comparable in magnitude
when the disease studied is
rare (eg, most cancers).
However, an OR can
overestimate and
magnify risk, especially
when the disease is more
common (eg, hypertension)
and should be avoided in
such cases if RR can be
used
https://www.mappingccs.com/biostatistics
Correlation
Correlation
Statistical box plot
Box plots graphically depict numerical data using their descriptive statistics,
0 Mean extreme value , must delete ; * outline value, not delet
Evaluation of
diagnostic
performances
of markers
AUC equal to 1.0 is
characteristic of an
ideal test, whereas 0.5
indicates a test without
diagnostic value. The
nearer a curve shifts to
the top left and corner
of the graph, the more
useful the marker is for
the diagnosis.
Receiver Operating Curve
(ROC), Sensitivity , Specificity
Positive predictive value (PPV)
Negative predictive value
(NPV)
COVID-Ag
COVID-Ag
https://www.medcalc.org/calc/diagnostic_test.p
hp
Editor and reviewer
comments shock
Insufficient sample size
!!!!!!!!!
What do
you need prior
to sample size
calculation?
Software used for sample size calculation.
• Calculation of sample size by medcalc
• https://www.medcalc.org/manual/sampling_menu.php
For TNF The minimal sample size is 68,
(34/group)To have a power of 80% to assess
whether the TNF is significantly higher in HCV-
HCV of ~20.4 (11.6) compared to HCV ass
significant fibrosis ~12.6 (11), using a 2
samples means test and a significance level of
0.05
Sample size for difference between
two independent means.
Anther example
• For Il10The minimal sample size is
178 (89 per group)To have a power of
80 % to assess whether IL-10 is
significantly lower in HCC (of ~14.2
(13)) compared to patients with
significant liver fibrosis... (19.7 (13)),
using a 2 samples means test and a
significance level of 0.05
Sample size
calculation
using ROC
Sample size calculation using ROC
Sample size for sensitivity & specificity.
For calculation sensitivity , for a marker for example 70 , CI = 10, sample is 123
Sample size for correlation analysis.
Sample size reporting.
Bio statistical analysis  in clinical research
Bio statistical analysis  in clinical research

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Bio statistical analysis in clinical research

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  • 2. Sample size calculations Dr. Mohamed M. Omran Associated prof. of Biochemistry Biochemistry department Faculty of science Helwan University Bio-statistical analysis in Clinical Research Sample size calculation
  • 3. Outlines 1. What is biostatics? 2. Types of data variables 3. Data inputs 4. Normal distribution 5. P value 6. Biostatics tests 7. 95 % confidence interval 8. Correlation 9. Diagnostic performances 10. sample size calculation
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  • 11. The null hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.
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  • 14. P Values • The probability that any observation is due to chance alone assuming that the null hypothesis is true • Typically, an estimate that has a p value of 0.05 or less is considered to be “statistically significant” or unlikely to occur due to chance alone. • The P value used is an arbitrary value • P value of 0.05 equals 1 in 20 chance • P value of 0.01 equals 1 in 100 chance • P value of 0.001 equals 1 in 1000 chance.
  • 15. Normal distribution (when group individuals less than 30 ) • Most of the biological variables usually cluster around a central value, with symmetrical positive and negative deviations about this point. The standard normal distribution curve is a symmetrical bell-shaped. • In a normal distribution curve, about 68% of the scores are within 1 SD of the mean. • Around 95% of the scores are within 2 SDs of the mean and 99% within 3 SDs of the Mean.
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  • 18. Comparison between parametric and nonparametric tests
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  • 22. One way ENOVA 1. Bonferroni is the powerful tests (Equal and non equal groups) 2. Tukey (equal groups) 3. Scheffe (unequal groups)
  • 23. McHugh, M. L. (2011). Multiple comparison analysis testing in ANOVA. Biochemia medica: Biochemia medica, 21(3), 203-209.
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  • 27. Comparing the two OR and RR are usually comparable in magnitude when the disease studied is rare (eg, most cancers). However, an OR can overestimate and magnify risk, especially when the disease is more common (eg, hypertension) and should be avoided in such cases if RR can be used https://www.mappingccs.com/biostatistics
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  • 31. Statistical box plot Box plots graphically depict numerical data using their descriptive statistics, 0 Mean extreme value , must delete ; * outline value, not delet
  • 32. Evaluation of diagnostic performances of markers AUC equal to 1.0 is characteristic of an ideal test, whereas 0.5 indicates a test without diagnostic value. The nearer a curve shifts to the top left and corner of the graph, the more useful the marker is for the diagnosis. Receiver Operating Curve (ROC), Sensitivity , Specificity Positive predictive value (PPV) Negative predictive value (NPV)
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  • 38. Editor and reviewer comments shock Insufficient sample size !!!!!!!!!
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  • 40. What do you need prior to sample size calculation?
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  • 46. Software used for sample size calculation. • Calculation of sample size by medcalc • https://www.medcalc.org/manual/sampling_menu.php
  • 47. For TNF The minimal sample size is 68, (34/group)To have a power of 80% to assess whether the TNF is significantly higher in HCV- HCV of ~20.4 (11.6) compared to HCV ass significant fibrosis ~12.6 (11), using a 2 samples means test and a significance level of 0.05 Sample size for difference between two independent means.
  • 48. Anther example • For Il10The minimal sample size is 178 (89 per group)To have a power of 80 % to assess whether IL-10 is significantly lower in HCC (of ~14.2 (13)) compared to patients with significant liver fibrosis... (19.7 (13)), using a 2 samples means test and a significance level of 0.05
  • 51. Sample size for sensitivity & specificity. For calculation sensitivity , for a marker for example 70 , CI = 10, sample is 123
  • 52. Sample size for correlation analysis.