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Analysis of Data and Findings
Prabesh Ghimire
Selection of
appropriate
statistical technique
Prabesh Ghimire, MPH 2
Selection of Statistical
Methods
• To select appropriate statistical method one need to
know
• Assumptions and conditions of the statistical
methods
• The main methods are used in statistical analysis
• Descriptive statistics: summarizes data using
indexes such as mean and SD
• Inferential statistics: draws conclusions from data
using statistical tests such as T-test, Chi-square
test, ANOVA.
Prabesh Ghimire, MPH 3
Factors influencing selection of statistical
technique
• Aim and Objective of the study
• Nature of observations: Paired or unpaired
• Type and distribution of the data used
Prabesh Ghimire, MPH 4
Factors influencing selection of statistical
technique
Aim and Objective of the study
• Statistical technique depends on the aim and objective of the
study
Objective
To describe something / to find out the prevalence
To find out the association…/ relationship
To find out the predictors/risk factors of outcome
variable
To compare the effectiveness of two different drugs
Techniques
Descriptive analysis (mean, median, SD,
percentage)
Chi-square test/ other tests..
Regression analysis
Independent sample t-test
Prabesh Ghimire, MPH 5
Factors influencing selection of statistical
technique
Nature of Observations: Paired or unpaired
• Paired: same subjects assessed at different time points or using
different methods
• Unpaired (independent): each group have different participants
• When data is paired: paired sample t-test/ Wilcoxon signed
rank test
• When data is unpaired: independent sample t-test / Mann
Whitney U test
Prabesh Ghimire, MPH 6
Factors influencing selection of statistical
technique
Type and distribution of data used
• For same objective, selection of the statistical test varies as per data
type.
• For nominal, ordinal and discrete data: non-parametric methods
• For continuous data: parametric methods as well as non-parametric
methods
• In regression analysis
• For categorical outcome:
• Dependent variable has two categories: Binary Logistics regression
• Dependent variable has more than two categories: Ordinal logistic regression /
Multinomial logistic regression
• For continuous variable: Linear regression
Prabesh Ghimire, MPH 7
Factors influencing selection of statistical
technique
Type and distribution of data used: CONTINUOUS VARIABLE
• If continuous variable follows normal distribution, mean is the
representative measure
• For non-normal data: median is the most appropriate measure
of the data set
Prabesh Ghimire, MPH 8
Factors influencing selection of statistical
technique
Type and distribution of data used
• We want to compare the hemoglobin level between treatment
and control groups
• If hemoglobin level follows normal distribution: Independent sample t-
test
• If it follows non-normal distribution: Mann-Whitney U test
Prabesh Ghimire, MPH 9
Factors influencing selection of statistical
technique
Type and distribution of data used
• We want to compare the hemoglobin level of women before and
after intervention
• If hemoglobin level follows normal distribution: paired sample t-test
• If it follows non-normal distribution: Wilcoxon signed-rank test
Prabesh Ghimire, MPH 10
Impacts of wrong selection of statistical
technique
Prabesh Ghimire, MPH 11
Impact of wrong selection..
• In a study systolic blood pressure (MeanSD) of control and
intervention groups were:
• Control: (126.458.85, n2=20)
• Intervention: (121.855.96, n2=20)
On independent sample t-test, result showed
• mean difference between two groups was not statistically significant
(p=0.061)
On paired sample t-test, result showed
• Mean difference was statistically significant (p=0.011)
Prabesh Ghimire, MPH 12
Further reading
• Khusainova, R. M., Shilova, Z. V., & Curteva, O. V. (2016). Selection of appropriate
statistical methods for research results processing. International Electronic Journal of
Mathematics Education, 11(1), 303-315.
• Mishra, P., Pandey, C. M., Singh, U., Keshri, A., & Sabaretnam, M. (2019). Selection of
appropriate statistical methods for data analysis. Annals of cardiac anaesthesia, 22(3),
297.
Prabesh Ghimire, MPH 13
Data Presentation
Prabesh Ghimire, MPH 14
Data Presentation
• Data: set of facts
• Data are collected in raw format
• Should be summarized, processed, analyzed
• Methods of presentation must be determined according to
• Data format
• Method of analysis to be used
• Information to be emphasized
Prabesh Ghimire, MPH 15
Ways of data presentation
• Three broad ways:
• As a text
• In tabular form
• In graphical forms
Prabesh Ghimire, MPH 16
Text Presentation
• Method of explaining results and trends in textual form
• Data are fundamentally presented in paragraphs or sentences
• Data which often are numbers and figures are better presented
in tables and graphs
• While interpretation are better stated in text
• If there are too few variables, data can be limited to texts
• For example, the majority of diabetic patients enrolled in the study were
male (80%) compare to female (20%).
Prabesh Ghimire, MPH 17
Text Presentation: Basic Rules
• Do not explain all the data available in the table or graph
• Only important points and results are to be highlighted in the text
• Avoid jargons
• Example: "Remarkably decreased", "was extremely high" and
"obviously lower"
• Exact values in the data will show just how remarkable, how extreme or
how obvious the findings are.
Prabesh Ghimire, MPH 18
Table Presentation
• Most widely used in academic research
• Data are presented in rows and columns
• Can present both qualitative and quantitative information
• Can accurately present information that cannot be presented
with a graph.
• Example: number such as 132.145 can be accurately represented in
table
• Information with different units can be presented together.
Prabesh Ghimire, MPH 19
Table Presentation
• Interpretation of information take longer in tables than in graphs
• Tables are not appropriate for studying data trends
Prabesh Ghimire, MPH 20
Basic rules for table presentation
Ideally every table should:
• Be self-explanatory
• Present values with the same number of decimal places in all its
cells (standardization)
• Include a title information what is being described and where as
well as the number of observations (n)
• Have a structure formed by three horizontal lines, defining table
heading and the end of the table at its lower border
Prabesh Ghimire, MPH 21
Basic rules for table presentation
• Not have vertical lines at its lateral borders
• Provide additional information in table footer, when needed
• Be inserted into a document only after being mentioned in the
text
• Be numbered by Arabic numerals
• Numbers should be aligned right and texts should be aligned
left
• Should fit the window
Prabesh Ghimire, MPH 22
Prabesh Ghimire, MPH 23
Graphical Presentation
• Graphs simplify complex information by using images and
emphasizing data patterns or trends
• Useful for summarizing, explaining or exploring quantitative
data.
Prabesh Ghimire, MPH 24
Different Types of Graphical Presentation
• Bar Graphs
• Histogram
• Scatter Plot
• Pie Chart
• Box and Whisker Plot
• Stem and Leaf Plot
Prabesh Ghimire, MPH 25
Basic Rules for Graphical Presentation
Graphs should
• Include, below the figure, a title providing all relevant
information;
• Be referred to as figures in the text;
• Identify figure axes by the variables under analysis;
• Quote the source which provided the data, if required;
• Demonstrate the scale being used; and
• Be self-explanatory.
Prabesh Ghimire, MPH 26
Data Presentation
• Presentation of categorical variables
• Table or bar graph, including pie chart
• To assess relationship between two variable: contingency table may be
used
• Presentation of numerical variables
• Table, Histogram, Frequency polygon chart, Scatter plot
Prabesh Ghimire, MPH 27
Parametric and Non-
Parametric Tests
Prabesh Ghimire, MPH 28
Concept
• Inferential statistical methods fall into
two possible categorizations:
• Parametric and
• Nonparametric.
Prabesh Ghimire, MPH 29
Parametric Methods
• All type of statistical methods those are used to compare
the means are called parametric
• Two key parameters: Mean and Standard Deviation
• Used with continuous, interval data
• Parametric tests rely on the assumption that the variable
is continuous and follow approximate normal distribution.
• Examples: all types of t-test, F test
• Pearson's correlation coefficient, linear regression
Prabesh Ghimire, MPH 30
Parametric Methods
• Student's t-test is used to compare the
means between two groups
• F test (one way ANOVA, repeated
measures ANOVA) are used to
compare means among three or more
groups.
Prabesh Ghimire, MPH 31
Non-Parametric Methods
• Alternative to parametric tests for the data
where there skewness, extreme asymmetries,
especially in small samples
• Statistical methods used to compare other than
means (ex-median/mean ranks/proportions) are
called non-parametric methods.
• Applied in ordinal data or nominal data
Prabesh Ghimire, MPH 32
Non-Parametric Methods
• When data is continuous with non-normal
distribution or any other types of data other
than continuous variable, nonparametric
methods are used.
• Fortunately, the most frequently used
parametric methods have nonparametric
counterparts.
Prabesh Ghimire, MPH 33
Non-Parametric Methods
• This can be useful when the assumptions of a parametric test are
violated and we can choose the nonparametric alternative as a
backup analysis
• Examples:
• Mann Whitney U test
• Wilcoxon test
• Kruskal-Wallis H test
• Median test
• Friedman test
• Log linear regression
• Spearman rank correlation coefficient
• Pearson's Chi-square test
Prabesh Ghimire, MPH 34
Parametric Vs Non-Parametric Methods
Basis of Comparison Parametric Test Non-Parametric Test
Scale of Measurement Interval/Ratio Nominal/Ordinal
Distribution Normal Normal or not
Variance Equal variance Different variance
Sample size Large Small
Selection Random sample Random/ Non-random
Power More Power Less Power
Prabesh Ghimire, MPH 35
Non-Parametric Alternatives to Parametric Methods
Prabesh Ghimire, MPH 36

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Analysis of data and findings

  • 1. Analysis of Data and Findings Prabesh Ghimire
  • 3. Selection of Statistical Methods • To select appropriate statistical method one need to know • Assumptions and conditions of the statistical methods • The main methods are used in statistical analysis • Descriptive statistics: summarizes data using indexes such as mean and SD • Inferential statistics: draws conclusions from data using statistical tests such as T-test, Chi-square test, ANOVA. Prabesh Ghimire, MPH 3
  • 4. Factors influencing selection of statistical technique • Aim and Objective of the study • Nature of observations: Paired or unpaired • Type and distribution of the data used Prabesh Ghimire, MPH 4
  • 5. Factors influencing selection of statistical technique Aim and Objective of the study • Statistical technique depends on the aim and objective of the study Objective To describe something / to find out the prevalence To find out the association…/ relationship To find out the predictors/risk factors of outcome variable To compare the effectiveness of two different drugs Techniques Descriptive analysis (mean, median, SD, percentage) Chi-square test/ other tests.. Regression analysis Independent sample t-test Prabesh Ghimire, MPH 5
  • 6. Factors influencing selection of statistical technique Nature of Observations: Paired or unpaired • Paired: same subjects assessed at different time points or using different methods • Unpaired (independent): each group have different participants • When data is paired: paired sample t-test/ Wilcoxon signed rank test • When data is unpaired: independent sample t-test / Mann Whitney U test Prabesh Ghimire, MPH 6
  • 7. Factors influencing selection of statistical technique Type and distribution of data used • For same objective, selection of the statistical test varies as per data type. • For nominal, ordinal and discrete data: non-parametric methods • For continuous data: parametric methods as well as non-parametric methods • In regression analysis • For categorical outcome: • Dependent variable has two categories: Binary Logistics regression • Dependent variable has more than two categories: Ordinal logistic regression / Multinomial logistic regression • For continuous variable: Linear regression Prabesh Ghimire, MPH 7
  • 8. Factors influencing selection of statistical technique Type and distribution of data used: CONTINUOUS VARIABLE • If continuous variable follows normal distribution, mean is the representative measure • For non-normal data: median is the most appropriate measure of the data set Prabesh Ghimire, MPH 8
  • 9. Factors influencing selection of statistical technique Type and distribution of data used • We want to compare the hemoglobin level between treatment and control groups • If hemoglobin level follows normal distribution: Independent sample t- test • If it follows non-normal distribution: Mann-Whitney U test Prabesh Ghimire, MPH 9
  • 10. Factors influencing selection of statistical technique Type and distribution of data used • We want to compare the hemoglobin level of women before and after intervention • If hemoglobin level follows normal distribution: paired sample t-test • If it follows non-normal distribution: Wilcoxon signed-rank test Prabesh Ghimire, MPH 10
  • 11. Impacts of wrong selection of statistical technique Prabesh Ghimire, MPH 11
  • 12. Impact of wrong selection.. • In a study systolic blood pressure (MeanSD) of control and intervention groups were: • Control: (126.458.85, n2=20) • Intervention: (121.855.96, n2=20) On independent sample t-test, result showed • mean difference between two groups was not statistically significant (p=0.061) On paired sample t-test, result showed • Mean difference was statistically significant (p=0.011) Prabesh Ghimire, MPH 12
  • 13. Further reading • Khusainova, R. M., Shilova, Z. V., & Curteva, O. V. (2016). Selection of appropriate statistical methods for research results processing. International Electronic Journal of Mathematics Education, 11(1), 303-315. • Mishra, P., Pandey, C. M., Singh, U., Keshri, A., & Sabaretnam, M. (2019). Selection of appropriate statistical methods for data analysis. Annals of cardiac anaesthesia, 22(3), 297. Prabesh Ghimire, MPH 13
  • 15. Data Presentation • Data: set of facts • Data are collected in raw format • Should be summarized, processed, analyzed • Methods of presentation must be determined according to • Data format • Method of analysis to be used • Information to be emphasized Prabesh Ghimire, MPH 15
  • 16. Ways of data presentation • Three broad ways: • As a text • In tabular form • In graphical forms Prabesh Ghimire, MPH 16
  • 17. Text Presentation • Method of explaining results and trends in textual form • Data are fundamentally presented in paragraphs or sentences • Data which often are numbers and figures are better presented in tables and graphs • While interpretation are better stated in text • If there are too few variables, data can be limited to texts • For example, the majority of diabetic patients enrolled in the study were male (80%) compare to female (20%). Prabesh Ghimire, MPH 17
  • 18. Text Presentation: Basic Rules • Do not explain all the data available in the table or graph • Only important points and results are to be highlighted in the text • Avoid jargons • Example: "Remarkably decreased", "was extremely high" and "obviously lower" • Exact values in the data will show just how remarkable, how extreme or how obvious the findings are. Prabesh Ghimire, MPH 18
  • 19. Table Presentation • Most widely used in academic research • Data are presented in rows and columns • Can present both qualitative and quantitative information • Can accurately present information that cannot be presented with a graph. • Example: number such as 132.145 can be accurately represented in table • Information with different units can be presented together. Prabesh Ghimire, MPH 19
  • 20. Table Presentation • Interpretation of information take longer in tables than in graphs • Tables are not appropriate for studying data trends Prabesh Ghimire, MPH 20
  • 21. Basic rules for table presentation Ideally every table should: • Be self-explanatory • Present values with the same number of decimal places in all its cells (standardization) • Include a title information what is being described and where as well as the number of observations (n) • Have a structure formed by three horizontal lines, defining table heading and the end of the table at its lower border Prabesh Ghimire, MPH 21
  • 22. Basic rules for table presentation • Not have vertical lines at its lateral borders • Provide additional information in table footer, when needed • Be inserted into a document only after being mentioned in the text • Be numbered by Arabic numerals • Numbers should be aligned right and texts should be aligned left • Should fit the window Prabesh Ghimire, MPH 22
  • 24. Graphical Presentation • Graphs simplify complex information by using images and emphasizing data patterns or trends • Useful for summarizing, explaining or exploring quantitative data. Prabesh Ghimire, MPH 24
  • 25. Different Types of Graphical Presentation • Bar Graphs • Histogram • Scatter Plot • Pie Chart • Box and Whisker Plot • Stem and Leaf Plot Prabesh Ghimire, MPH 25
  • 26. Basic Rules for Graphical Presentation Graphs should • Include, below the figure, a title providing all relevant information; • Be referred to as figures in the text; • Identify figure axes by the variables under analysis; • Quote the source which provided the data, if required; • Demonstrate the scale being used; and • Be self-explanatory. Prabesh Ghimire, MPH 26
  • 27. Data Presentation • Presentation of categorical variables • Table or bar graph, including pie chart • To assess relationship between two variable: contingency table may be used • Presentation of numerical variables • Table, Histogram, Frequency polygon chart, Scatter plot Prabesh Ghimire, MPH 27
  • 28. Parametric and Non- Parametric Tests Prabesh Ghimire, MPH 28
  • 29. Concept • Inferential statistical methods fall into two possible categorizations: • Parametric and • Nonparametric. Prabesh Ghimire, MPH 29
  • 30. Parametric Methods • All type of statistical methods those are used to compare the means are called parametric • Two key parameters: Mean and Standard Deviation • Used with continuous, interval data • Parametric tests rely on the assumption that the variable is continuous and follow approximate normal distribution. • Examples: all types of t-test, F test • Pearson's correlation coefficient, linear regression Prabesh Ghimire, MPH 30
  • 31. Parametric Methods • Student's t-test is used to compare the means between two groups • F test (one way ANOVA, repeated measures ANOVA) are used to compare means among three or more groups. Prabesh Ghimire, MPH 31
  • 32. Non-Parametric Methods • Alternative to parametric tests for the data where there skewness, extreme asymmetries, especially in small samples • Statistical methods used to compare other than means (ex-median/mean ranks/proportions) are called non-parametric methods. • Applied in ordinal data or nominal data Prabesh Ghimire, MPH 32
  • 33. Non-Parametric Methods • When data is continuous with non-normal distribution or any other types of data other than continuous variable, nonparametric methods are used. • Fortunately, the most frequently used parametric methods have nonparametric counterparts. Prabesh Ghimire, MPH 33
  • 34. Non-Parametric Methods • This can be useful when the assumptions of a parametric test are violated and we can choose the nonparametric alternative as a backup analysis • Examples: • Mann Whitney U test • Wilcoxon test • Kruskal-Wallis H test • Median test • Friedman test • Log linear regression • Spearman rank correlation coefficient • Pearson's Chi-square test Prabesh Ghimire, MPH 34
  • 35. Parametric Vs Non-Parametric Methods Basis of Comparison Parametric Test Non-Parametric Test Scale of Measurement Interval/Ratio Nominal/Ordinal Distribution Normal Normal or not Variance Equal variance Different variance Sample size Large Small Selection Random sample Random/ Non-random Power More Power Less Power Prabesh Ghimire, MPH 35
  • 36. Non-Parametric Alternatives to Parametric Methods Prabesh Ghimire, MPH 36