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Data Interpretation in
Quantitative Research
Seminar Outline
1.Interpreting with Graphs & diagrams
2.Aspects of Interpretation
◦ Credibility & Validity
◦ Credibility & Bias
◦ Credibility & Corroboration
◦ Magnitude & precision of Results
3.Interpreting the meaning of Results
◦ Interpreting Hypothesised Results
◦ Interpreting Non Significant Results
◦ Interpreting Un Hypothesised Results
◦ Generalizability of Results
◦ Implication of Results
4.Clinical Significance Vs Statistical significance
Interpreting with Graphs & Diagrams
Interpreting with Graphs & Diagrams
Interpretation Vs Inference
Credibility & Validity
Credibility & Bias
Credibility & Corroboration
Magnitude & Precision of Results
Aspects of Interpretation
Multiple Inferences
Conclusion
from Singles
inference Inference
Interpretation
Do the findings represent the whole population?
“Truth in the real World”
Credibility & Validity
Desired inferences are
valid in terms of
Sampling
Intervention Design
Measurement
Research design
Analysis
Effectiveness of on Intervention Package(IP) to increase the
physical activity among low income group women in
California.
Construct Validity – Population Construct
Statistical conclusion Validity- Power Analysis
External Validity- Sampling
Internal Validity – Sample composition, Attrition
Credibility & Bias
Research
Design
Sampling Measurement Analysis
Expectation
Bias
Sampling
Error
Social
desirability
Bias
Type- I Error
Hawthorne
Effect
Volunteer
Bias
Extreme
Response Bias
Type- II Error
Contamination
of Treatment
Non response
Bias
Reactivity
Non
compliance
Bias
Observer Bias
Selection Bias
Attrition Bias
History Bias
Credibility & Corroboration
Triangulation
Consistency
Replication
Magnitude
P
Value
CI
Value
Precision
Null hypothesis is false
Strength of the evidence
Effect Size
( D value)
D= (Mean of Intervention
group- Mean of control group)
/ SD
Higher the effect size higher the magnitude
Meaning of the Quantitative Results
Research Question
Does ECT causes ECT? Does the
intervention has impact on head ache?
Research results
59.4%(95% CI [56.3,63.1]
Interpretation
59.4% of patients in both group
experienced head ache(%) and the ECT
causes the head ache(CI)
Compare the effectiveness of Acetaminophen Vs Cryotherapy on
Headache induced by ECT among patients undergoing ECT
Research Question
Does the prevalence of head ache
differs between the intervention
groups
[Cryotherapy/Acetaminophen]]?
Interpretation??
Hypothesis Testing
Statistical Significance
Compare the probability from test (the p-value) to the critical probability value that
was hypothesized (the alpha level)
P-Value: the probability that the results
were due to chance and not based on
intervention. P-values range from 0 to
1. The lower the p-value, the more
likely it is that a difference occurred as a
result of intervention.
Alpha (α) level: Alpha is often set at .05 or .01.
The alpha level is also known as the Type I
error . An alpha of .05 means that can accept
that there is a 5% chance that the results are
due to chance rather than intervention.
If the p-value is less than the alpha value, conclude that the difference observed is statistically significant
Hypothesis Testing & Interpretation
A study was to examine the relationship between behavior problems and self-concept in
children and adolescents with ADHD. The relationships among gender, age, and behavior
problems with self-concept were explored, and ethnic differences with respect to behavior
problems and self-concept were examined. Houck, G., Kendall, J., Miller, A., Morrell, P., & Wiebe, G.
(2011). Self-concept in children and adolescents with attention deficit hyperactivity disorder. Journal of pediatric
nursing, 26(3), 239–247. https://doi.org/10.1016/j.pedn.2010.02.004
• Behavior problems
in ADHD children is
associated with low
self concept
Hypothesis
• Internalizing
problems were
significantly
predictive of lower
self concept scores
Interpretation
• Age and
internalizing
behavior is found to
be negatively
influence the child’s
self concept
Discussion
Hypothesis Testing & Interpretation
Interpreting - Non hypothesized Results
Non significant results pose interpretive challenges
Statistical test are geared to disconfirmation of Null Hypothesis
Failure to reject null hypothesis(Type II Error) may result from
• Small sample size
• Unreliable measures
• Poor internal validity
• Anomalous sample
But when the actual research hypothesis is null (prediction of NO group
difference) stringent additional strategies must be used to provide
supporting evidence .
It is useful to compute effect size or is to illustrate that the risk of Type II
error is small.
1. Serendipitous significant Findings
Exploring relationships that were not
considered during the design of the study
Eg. Latendresse and Ruiz (2011) studied the
relationship between chronic maternal stress
and preterm birth.
They reported an unexpected finding that
maternal use of selective serotonin reuptake
inhibitors(SSRIs) was associated with 12 fold
increase in preterm births
Interpreting Un Hypothesised Results
2. Significant Result contrary to Hypothesis
Obtaining results opposite to those
hypothesized
Eg. Dotson & Collegues (2014) , who tested
hypotheses about nurse retention with a
Sample of 861 registered nurses (RNs) predicted
that higher levels of altruism would be
associated with stronger intentions to stay in
Nursing , however , the opposite was found.
They speculated that this might mean that
some nurses “ are no long experiencing the
fulfillment of their altruistic desires in the field
of Nursing
Un hypothesized significant results can occur in
Generalizability of Results Implication
Which Population, setting,
versions of intervention were
the study operations good
Consider proxy
Are these results relevant to
any particular situation?
A Study that have limited
credibility or importance
may have little utility in
clinical practice.
The practical importance of
research results in terms of
Genuinely
Palpable effect on daily lives of patients and
health care decisions
C l i n i c a l S i g n i f i c a n c e
No change over time
Implication for health
management
Patient’s view(quality of Life)
Point in time outcomes
Change scores
Standardization possibilities
Clinical Significance – Group Level
Involves using statistical significance other that P value
The most widely group level indices for clinical significance at group
level used are
Effect size indexes- Magnitude of the result
CIs- Precision of the results
Number need to Treat(NNT)- Patient outcome
C l i n i c a l S i g n i f i c a n c e
Clinical Significance – Individual Level
Benchmark/ Threshold
Designates the score value on a measure (for the value of
the change score0 that would be considered clinically
important
With an established benchmark for clinical significance ,
each person in a study can be classified
As having or not having a score or change score that is
clinically significant.
C l i n i c a l S i g n i f i c a n c e
Calculate Effect size for given values and
interpret
Example: Statistical significance vs clinical significance large study compared two weight loss
methods with 13,000 participants in a control intervention group and 13,000 participants in an
experimental intervention group. The control intervention used scientifically backed methods for
weight loss, while the experimental intervention group used a new app-based method.
After six months, the mean weight loss (kg) for the experimental intervention group (M =
10.6, SD = 6.7) was marginally higher than the mean weight loss for the control intervention
group (M = 10.5, SD = 6.8).
Cohen’s d formula Explanation
•x̄1= mean of Group 1
•x̄2= mean of Group 2
•s = standard deviation
d = (x̄1 − x̄2) ÷ s
d = (10.6 − 10.5 )÷ 6.8 = 0.015
With a Cohen’s d of 0.015, there’s limited to no practical significance of the finding that the experimental
intervention was more successful than the control intervention.
Summary & Conclusion
Discussion
Journal References
1. Dilip Kumar Kulkarni 2016 Indian Journal of Anesthesia , Interpretation
and display of research results Indian J Anaesth. Sep; 60(9): 657–661.
doi: 10.4103/0019-5049.190622 PMCID: PMC5037947 PMID: 27729693
2. Michael J. Albers Quantitative Data Analysis—In the Graduate
Curriculum February 26, 2017 Journal of Technical Writing and
Communication
3. The Data Puzzle: The Nature of Interpretation in Quantitative Research ,
American Journal of Political science, Vol. 40, No. 1 (Feb., 1996), pp. 1-32 (32
pages)
Published By: Midwest Political Science Association
Book References
POLIT & BECK Canadian Nurses Understanding Nursing Research 6th edition
(2012) Lippincott Publication
Judith Haber- Methods of critical appraisal – Nursing Research 12th edition(2018)
Wolter Kluwer Publications
Janey Hawker Nursing Research Critical Apraisal and Underdtanding 4th
edition(2004) Wolter Kleuwer Publications
Polit & Beck South Asian Edition of Nursing Research- A critical First Edition
Understanding (2019) Wolter Kluer Publications
Seminar iv

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Seminar iv

  • 2. Seminar Outline 1.Interpreting with Graphs & diagrams 2.Aspects of Interpretation ◦ Credibility & Validity ◦ Credibility & Bias ◦ Credibility & Corroboration ◦ Magnitude & precision of Results 3.Interpreting the meaning of Results ◦ Interpreting Hypothesised Results ◦ Interpreting Non Significant Results ◦ Interpreting Un Hypothesised Results ◦ Generalizability of Results ◦ Implication of Results 4.Clinical Significance Vs Statistical significance
  • 5. Interpretation Vs Inference Credibility & Validity Credibility & Bias Credibility & Corroboration Magnitude & Precision of Results Aspects of Interpretation Multiple Inferences Conclusion from Singles inference Inference Interpretation Do the findings represent the whole population? “Truth in the real World”
  • 6. Credibility & Validity Desired inferences are valid in terms of Sampling Intervention Design Measurement Research design Analysis Effectiveness of on Intervention Package(IP) to increase the physical activity among low income group women in California. Construct Validity – Population Construct Statistical conclusion Validity- Power Analysis External Validity- Sampling Internal Validity – Sample composition, Attrition
  • 7. Credibility & Bias Research Design Sampling Measurement Analysis Expectation Bias Sampling Error Social desirability Bias Type- I Error Hawthorne Effect Volunteer Bias Extreme Response Bias Type- II Error Contamination of Treatment Non response Bias Reactivity Non compliance Bias Observer Bias Selection Bias Attrition Bias History Bias Credibility & Corroboration Triangulation Consistency Replication
  • 8. Magnitude P Value CI Value Precision Null hypothesis is false Strength of the evidence Effect Size ( D value) D= (Mean of Intervention group- Mean of control group) / SD Higher the effect size higher the magnitude
  • 9. Meaning of the Quantitative Results Research Question Does ECT causes ECT? Does the intervention has impact on head ache? Research results 59.4%(95% CI [56.3,63.1] Interpretation 59.4% of patients in both group experienced head ache(%) and the ECT causes the head ache(CI) Compare the effectiveness of Acetaminophen Vs Cryotherapy on Headache induced by ECT among patients undergoing ECT Research Question Does the prevalence of head ache differs between the intervention groups [Cryotherapy/Acetaminophen]]? Interpretation?? Hypothesis Testing
  • 10. Statistical Significance Compare the probability from test (the p-value) to the critical probability value that was hypothesized (the alpha level) P-Value: the probability that the results were due to chance and not based on intervention. P-values range from 0 to 1. The lower the p-value, the more likely it is that a difference occurred as a result of intervention. Alpha (α) level: Alpha is often set at .05 or .01. The alpha level is also known as the Type I error . An alpha of .05 means that can accept that there is a 5% chance that the results are due to chance rather than intervention. If the p-value is less than the alpha value, conclude that the difference observed is statistically significant
  • 11. Hypothesis Testing & Interpretation A study was to examine the relationship between behavior problems and self-concept in children and adolescents with ADHD. The relationships among gender, age, and behavior problems with self-concept were explored, and ethnic differences with respect to behavior problems and self-concept were examined. Houck, G., Kendall, J., Miller, A., Morrell, P., & Wiebe, G. (2011). Self-concept in children and adolescents with attention deficit hyperactivity disorder. Journal of pediatric nursing, 26(3), 239–247. https://doi.org/10.1016/j.pedn.2010.02.004
  • 12. • Behavior problems in ADHD children is associated with low self concept Hypothesis • Internalizing problems were significantly predictive of lower self concept scores Interpretation • Age and internalizing behavior is found to be negatively influence the child’s self concept Discussion Hypothesis Testing & Interpretation
  • 13. Interpreting - Non hypothesized Results Non significant results pose interpretive challenges Statistical test are geared to disconfirmation of Null Hypothesis Failure to reject null hypothesis(Type II Error) may result from • Small sample size • Unreliable measures • Poor internal validity • Anomalous sample But when the actual research hypothesis is null (prediction of NO group difference) stringent additional strategies must be used to provide supporting evidence . It is useful to compute effect size or is to illustrate that the risk of Type II error is small.
  • 14. 1. Serendipitous significant Findings Exploring relationships that were not considered during the design of the study Eg. Latendresse and Ruiz (2011) studied the relationship between chronic maternal stress and preterm birth. They reported an unexpected finding that maternal use of selective serotonin reuptake inhibitors(SSRIs) was associated with 12 fold increase in preterm births Interpreting Un Hypothesised Results 2. Significant Result contrary to Hypothesis Obtaining results opposite to those hypothesized Eg. Dotson & Collegues (2014) , who tested hypotheses about nurse retention with a Sample of 861 registered nurses (RNs) predicted that higher levels of altruism would be associated with stronger intentions to stay in Nursing , however , the opposite was found. They speculated that this might mean that some nurses “ are no long experiencing the fulfillment of their altruistic desires in the field of Nursing Un hypothesized significant results can occur in
  • 15. Generalizability of Results Implication Which Population, setting, versions of intervention were the study operations good Consider proxy Are these results relevant to any particular situation? A Study that have limited credibility or importance may have little utility in clinical practice.
  • 16. The practical importance of research results in terms of Genuinely Palpable effect on daily lives of patients and health care decisions C l i n i c a l S i g n i f i c a n c e No change over time Implication for health management Patient’s view(quality of Life) Point in time outcomes Change scores Standardization possibilities
  • 17. Clinical Significance – Group Level Involves using statistical significance other that P value The most widely group level indices for clinical significance at group level used are Effect size indexes- Magnitude of the result CIs- Precision of the results Number need to Treat(NNT)- Patient outcome C l i n i c a l S i g n i f i c a n c e
  • 18. Clinical Significance – Individual Level Benchmark/ Threshold Designates the score value on a measure (for the value of the change score0 that would be considered clinically important With an established benchmark for clinical significance , each person in a study can be classified As having or not having a score or change score that is clinically significant. C l i n i c a l S i g n i f i c a n c e
  • 19. Calculate Effect size for given values and interpret Example: Statistical significance vs clinical significance large study compared two weight loss methods with 13,000 participants in a control intervention group and 13,000 participants in an experimental intervention group. The control intervention used scientifically backed methods for weight loss, while the experimental intervention group used a new app-based method. After six months, the mean weight loss (kg) for the experimental intervention group (M = 10.6, SD = 6.7) was marginally higher than the mean weight loss for the control intervention group (M = 10.5, SD = 6.8). Cohen’s d formula Explanation •x̄1= mean of Group 1 •x̄2= mean of Group 2 •s = standard deviation d = (x̄1 − x̄2) ÷ s d = (10.6 − 10.5 )÷ 6.8 = 0.015 With a Cohen’s d of 0.015, there’s limited to no practical significance of the finding that the experimental intervention was more successful than the control intervention.
  • 22. Journal References 1. Dilip Kumar Kulkarni 2016 Indian Journal of Anesthesia , Interpretation and display of research results Indian J Anaesth. Sep; 60(9): 657–661. doi: 10.4103/0019-5049.190622 PMCID: PMC5037947 PMID: 27729693 2. Michael J. Albers Quantitative Data Analysis—In the Graduate Curriculum February 26, 2017 Journal of Technical Writing and Communication 3. The Data Puzzle: The Nature of Interpretation in Quantitative Research , American Journal of Political science, Vol. 40, No. 1 (Feb., 1996), pp. 1-32 (32 pages) Published By: Midwest Political Science Association
  • 23. Book References POLIT & BECK Canadian Nurses Understanding Nursing Research 6th edition (2012) Lippincott Publication Judith Haber- Methods of critical appraisal – Nursing Research 12th edition(2018) Wolter Kluwer Publications Janey Hawker Nursing Research Critical Apraisal and Underdtanding 4th edition(2004) Wolter Kleuwer Publications Polit & Beck South Asian Edition of Nursing Research- A critical First Edition Understanding (2019) Wolter Kluer Publications