Statistics &
Evidence-Based Practice
THE PENNSYLVANIA STATE UNIVERSITY
COLLEGE OF NURSING
NURSING 200W
Objectives
 Identify the purposes of statistical analyses.
 Describe the process of data analysis.
 Describe probability theory and decision theory
that guide statistical data analysis.
 Describe the process of inferring from a sample to
a population.
 Discuss the distribution of the normal curve.
Objectives
 Identify descriptive analyses.
 Describe the results obtained from inferential statistical
analyses.
 Describe the five types of results obtained from quasi-
experimental and experimental study designs.
 Compare and contrast statistical significance and clinical
importance of results.
 Critically appraise statistical results, findings, limitations,
conclusions, and generalization of findings.
A Statistical
Primer
Statistics in Nursing Practice
 Reading or critiquing published research
 Examining outcomes of nursing practice by analyzing
data collected in a clinical site
 Developing administrative reports with support data
 Analyzing research done by nursing staff and other
health professionals at a clinical site
 Demonstrating a problem or need and conducting a
study
Critically Appraising Statistics
 Identify statistical procedures used
 Determine whether statistics used were
appropriate or not
 Evaluate researchers interpretation of statistics
Stages in Data Analysis
1. Prepare data for analysis.
2. Describe the sample.
3. Test reliability of measurement methods.
4. Conduct exploratory analysis.
5. Conduct confirmatory analysis guided by
hypotheses, questions, or objectives.
6. Conduct posthoc analyses.
Major Statistics in Nursing Studies
Descriptive Inferential
Descriptive Statistics
 Describe and summarize the sample and
variables
 Also referred to as summary statistics
Inferential Statistics
 Infer or address the objectives, questions, and
hypotheses
Descriptive Statistics
 If a research study collects numerical data,
data analysis begins with descriptive statistics
 Not limited to quantitative research!
 May be the only statistical analysis conducted in a
descriptive study
Types of Descriptive Statistics
 Frequency distributions
 Measures of central tendency
 Measures of dispersion
Two-Tailedness
Ungrouped Frequency Distribution
 Data in raw form:
 1: ☺
 2: ☺ ☺ ☺ ☺ ☺ ☺ ☺
 3: ☺ ☺
 4: ☺ ☺ ☺ ☺
 5: ☺
Grouped Frequency Distribution
 Data are grouped into categories:
 Ages 15 to 20: 12
 Ages 20 to 25: 14
 Ages 25 to 30: 19….
Example of a Percentage Distribution
 Housing: 41.7%
 Textbooks: 8.3%
 Clothing: 16.7%
 Food: 8.3%
 Additional Supplies: 25%
How Frequency Distributions are
Presented in Research Articles
Measures of Central Tendency
Mean
Median
Mode
Normal Curve
Normal Curve
 A theoretical frequency distribution of all
possible values in a population
 Levels of significance and probability are based
on the logic of the normal curve
Mean
 Is the sum of values divided by the number of
values being summed
Median
 Is the value in exact center of ungrouped
frequency distribution
 Is obtained by rank ordering the values
Mode
 Is the numerical value or score that occurs with
greatest frequency
 Is expressed graphically
Bimodal Distribution
Measures of Dispersion
Range
Variance
Standard deviation
Standardized scores
Scatterplots
Range
 Is obtained by subtracting lowest score from
highest score
Difference Scores
 Are obtained by subtracting the mean from
each score
 Sometimes referred to as a deviation score
because it indicates the extent to which a score
deviates from the mean
Standard Deviation
 Is the square root of the variance
 Just as the mean is the “average” value, the
standard deviation is the “average” difference
score
Standardized Scores
 Raw scores that cannot be compared and are
transformed into standardized scores
 Common standardized score is a Z-score
 Provides a way to compare scores in a similar
process
Scatterplots
Probability
Theory
Probability Theory
 Used to explain:
 Extent of a relationship
 Probability of an event occurring
 Probability that an event can be accurately
predicted
Probability
 If probability is 0.23, then p = 0.23
 There is a 23% probability that a particular event
will occur
Inferences
 A conclusion or judgment based on evidence
 Judgments are made based on statistical results
Decision Theory
Decision Theory
 Assumes that all the groups in a study used to
test a hypothesis are components of the same
population relative to the variables under study
 It is up to the researcher to provide evidence
that there really is a difference
 To test the assumption of no difference, a cutoff
point is selected before analysis
Statistics
JUDGING THE
APPROPRIATENESS OF THE
STATISTICAL TESTS USED
Critical Appraisal
 Factors that must be considered include:
 Study purpose
 Hypotheses, questions, or objectives
 Design
 Level of measurement
Critical Appraisal
 You must judge whether the procedure was
performed appropriately and the results were
interpreted correctly.
Information Needed
1. Decide whether the research question focuses
on differences or associations/relationships.
Information Needed
1. Decide whether the research question focuses
on differences or associations/relationships.
2. Determine level of measurement.
Data Types
 Nominal
 Ordinal
 Interval/Ratio
Information Needed
1. Decide whether the research question focuses
on differences or associations/relationships.
2. Determine level of measurement.
3. Select the study design that most closely fits
the one you are looking at.
Information Needed
1. Decide whether the research question focuses
on differences or associations/relationships.
2. Determine level of measurement.
3. Select the study design that most closely fits the
one you are looking at.
4. Determine whether the study samples are
independent, dependent, or mixed.
Statistical Tests SOME COMMON STATISTICAL
TESTS IN RESEARCH
Chi-Square
 Nominal or ordinal data
 Tests for differences between expected
frequencies if groups are alike and frequencies
actually observed in the data
Chi-Square
Regular No Regular
Exercise Exercise Total
Male 35 15 50
Female 10 40 50
Total 45 55 100
Chi-Square
 Indicate that there is a significant difference
between some of the cells in the table
 The difference may be between only two of the
cells, or there may be differences among all of
the cells.
 Chi-square results will not tell you which cells are
different.
Example
Pearson Product-Moment Correlation
 Tests for the presence of a relationship between
two variables
 Works with all types of data
Correlation
 Performed on data collected from a single
sample
 Measures of the two variables to be examined
must be available for each subject in the data
set.
Correlation
 Results
 Nature of the relationship (positive or negative)
 Magnitude of the relationship (–1 to +1)
 Testing the significance of a correlation coefficient
Response Question
 Which are the following are significant?
 A. r = 0.56 (p = 0.03)
 B. r = –0.13 (p = 0.2)
 C. r = 0.65 (p < 0.002)
Example
Factor Analysis
 Examines relationships among large numbers of
variables
 Disentangles those relationships to identify
clusters of variables most closely linked
 Sorts variables according to how closely related
they are to the other variables
 Closely related variables grouped into a factor
Factor Analysis
 Several factors may be identified within a data set
 The researcher must explain why the analysis
grouped the variables in a specific way
 Statistical results indicate the amount of variance
in the data set that can be explained by each
factor and the amount of variance in each factor
that can be explained by a particular variable
Regression Analysis
 Used when one wishes to predict the value of
one variable based on the value of one or
more other variables
Regression Analysis
 The outcome of analysis is the regression
coefficient R
 When R is squared, it indicates the amount of
variance in the data that is explained by the
equation
 R2
= 0.63
Example
T-test
 Requires interval level measures
 Tests for significant differences between two
samples
 Most commonly used test of differences
Example
Analysis of Variance
 ANOVA
 Tests for differences between means
 Allows for comparison of groups
Example
Results
A SUMMARY OF THE TYPES OF
RESULTS YOU WILL FIND IN
EXPERIMENTAL AND
QUASI-EXPERIMENTAL
RESEARCH STUDIES
Types of Results
Significant and predicted
Nonsignificant
Significant and not predicted
Mixed
Unexpected
Significant and Predicted
 Support logical associations between variables
 As expected by the researcher
Nonsignificant
 Negative or inconclusive results
 No significant differences or relationships
Significant and Unpredicted
 Opposite of what was expected
 Indicate potential flawed logic of researcher
Mixed
 Most common outcome of studies
 One variable may uphold predicted
characteristics, whereas another does not
 Or two dependent measures of the same variable
may show opposite results.
Unexpected
 Relationships between variables that were not
hypothesized and not predicted from the
framework being used
Findings,
Conclusions, &
Implications
Findings
 Results of a research study that have been
translated and interpreted
Statistically Significant Findings
 Significant p-values
Clinically Significant Findings
 Practical application of findings
 Somewhat based on opinion
Conclusions
 A synthesis of findings
 Researchers should not go beyond what the
findings state or interpret too much!
Implications
 The meaning for nursing practice, research,
and/or education
 Specific suggestions for implementing the
findings
Critical
Appraisal
QUESTIONS TO ASK
Critical Appraisal
1. What statistics were used to described the
characteristics of the sample?
2. Are the data analysis procedures clearly described?
3. Did statistics address the purpose of the study?
4. Did the statistics address the objectives, questions or
hypotheses of the study?
5. Were the statistics appropriate for the level of
measurement of each variable?
Critical Appraisal
1. What statistics were used to described the
characteristics of the sample?
2. Are the data analysis procedures clearly described?
3. Did statistics address the purpose of the study?
4. Did the statistics address the objectives, questions or
hypotheses of the study?
5. Were the statistics appropriate for the level of
measurement of each variable?
Critical Appraisal
1. What statistics were used to described the
characteristics of the sample?
2. Are the data analysis procedures clearly described?
3. Did statistics address the purpose of the study?
4. Did the statistics address the objectives, questions or
hypotheses of the study?
5. Were the statistics appropriate for the level of
measurement of each variable?
Critical Appraisal
1. What statistics were used to described the
characteristics of the sample?
2. Are the data analysis procedures clearly described?
3. Did statistics address the purpose of the study?
4. Did the statistics address the objectives, questions or
hypotheses of the study?
5. Were the statistics appropriate for the level of
measurement of each variable?
Critical Appraisal
1. What statistics were used to described the
characteristics of the sample?
2. Are the data analysis procedures clearly described?
3. Did statistics address the purpose of the study?
4. Did the statistics address the objectives, questions or
hypotheses of the study?
5. Were the statistics appropriate for the level of
measurement of each variable?
Critical Appraisal
1. What statistics were used to described the
characteristics of the sample?
2. Are the data analysis procedures clearly described?
3. Did statistics address the purpose of the study?
4. Did the statistics address the objectives, questions or
hypotheses of the study?
5. Were the statistics appropriate for the level of
measurement of each variable?
The End!
QUESTION?
COMMENTS?

Module12_Statistics_and_Evidence -Based Practice.pptx

  • 1.
    Statistics & Evidence-Based Practice THEPENNSYLVANIA STATE UNIVERSITY COLLEGE OF NURSING NURSING 200W
  • 2.
    Objectives  Identify thepurposes of statistical analyses.  Describe the process of data analysis.  Describe probability theory and decision theory that guide statistical data analysis.  Describe the process of inferring from a sample to a population.  Discuss the distribution of the normal curve.
  • 3.
    Objectives  Identify descriptiveanalyses.  Describe the results obtained from inferential statistical analyses.  Describe the five types of results obtained from quasi- experimental and experimental study designs.  Compare and contrast statistical significance and clinical importance of results.  Critically appraise statistical results, findings, limitations, conclusions, and generalization of findings.
  • 4.
  • 5.
    Statistics in NursingPractice  Reading or critiquing published research  Examining outcomes of nursing practice by analyzing data collected in a clinical site  Developing administrative reports with support data  Analyzing research done by nursing staff and other health professionals at a clinical site  Demonstrating a problem or need and conducting a study
  • 6.
    Critically Appraising Statistics Identify statistical procedures used  Determine whether statistics used were appropriate or not  Evaluate researchers interpretation of statistics
  • 7.
    Stages in DataAnalysis 1. Prepare data for analysis. 2. Describe the sample. 3. Test reliability of measurement methods. 4. Conduct exploratory analysis. 5. Conduct confirmatory analysis guided by hypotheses, questions, or objectives. 6. Conduct posthoc analyses.
  • 8.
    Major Statistics inNursing Studies Descriptive Inferential
  • 9.
    Descriptive Statistics  Describeand summarize the sample and variables  Also referred to as summary statistics
  • 10.
    Inferential Statistics  Inferor address the objectives, questions, and hypotheses
  • 11.
    Descriptive Statistics  Ifa research study collects numerical data, data analysis begins with descriptive statistics  Not limited to quantitative research!  May be the only statistical analysis conducted in a descriptive study
  • 12.
    Types of DescriptiveStatistics  Frequency distributions  Measures of central tendency  Measures of dispersion
  • 13.
  • 14.
    Ungrouped Frequency Distribution Data in raw form:  1: ☺  2: ☺ ☺ ☺ ☺ ☺ ☺ ☺  3: ☺ ☺  4: ☺ ☺ ☺ ☺  5: ☺
  • 15.
    Grouped Frequency Distribution Data are grouped into categories:  Ages 15 to 20: 12  Ages 20 to 25: 14  Ages 25 to 30: 19….
  • 16.
    Example of aPercentage Distribution  Housing: 41.7%  Textbooks: 8.3%  Clothing: 16.7%  Food: 8.3%  Additional Supplies: 25%
  • 17.
    How Frequency Distributionsare Presented in Research Articles
  • 18.
    Measures of CentralTendency Mean Median Mode
  • 19.
  • 20.
    Normal Curve  Atheoretical frequency distribution of all possible values in a population  Levels of significance and probability are based on the logic of the normal curve
  • 21.
    Mean  Is thesum of values divided by the number of values being summed
  • 22.
    Median  Is thevalue in exact center of ungrouped frequency distribution  Is obtained by rank ordering the values
  • 23.
    Mode  Is thenumerical value or score that occurs with greatest frequency  Is expressed graphically
  • 24.
  • 25.
    Measures of Dispersion Range Variance Standarddeviation Standardized scores Scatterplots
  • 26.
    Range  Is obtainedby subtracting lowest score from highest score
  • 27.
    Difference Scores  Areobtained by subtracting the mean from each score  Sometimes referred to as a deviation score because it indicates the extent to which a score deviates from the mean
  • 28.
    Standard Deviation  Isthe square root of the variance  Just as the mean is the “average” value, the standard deviation is the “average” difference score
  • 29.
    Standardized Scores  Rawscores that cannot be compared and are transformed into standardized scores  Common standardized score is a Z-score  Provides a way to compare scores in a similar process
  • 30.
  • 31.
  • 32.
    Probability Theory  Usedto explain:  Extent of a relationship  Probability of an event occurring  Probability that an event can be accurately predicted
  • 33.
    Probability  If probabilityis 0.23, then p = 0.23  There is a 23% probability that a particular event will occur
  • 34.
    Inferences  A conclusionor judgment based on evidence  Judgments are made based on statistical results
  • 35.
  • 36.
    Decision Theory  Assumesthat all the groups in a study used to test a hypothesis are components of the same population relative to the variables under study  It is up to the researcher to provide evidence that there really is a difference  To test the assumption of no difference, a cutoff point is selected before analysis
  • 37.
  • 38.
    Critical Appraisal  Factorsthat must be considered include:  Study purpose  Hypotheses, questions, or objectives  Design  Level of measurement
  • 39.
    Critical Appraisal  Youmust judge whether the procedure was performed appropriately and the results were interpreted correctly.
  • 40.
    Information Needed 1. Decidewhether the research question focuses on differences or associations/relationships.
  • 42.
    Information Needed 1. Decidewhether the research question focuses on differences or associations/relationships. 2. Determine level of measurement.
  • 44.
    Data Types  Nominal Ordinal  Interval/Ratio
  • 45.
    Information Needed 1. Decidewhether the research question focuses on differences or associations/relationships. 2. Determine level of measurement. 3. Select the study design that most closely fits the one you are looking at.
  • 47.
    Information Needed 1. Decidewhether the research question focuses on differences or associations/relationships. 2. Determine level of measurement. 3. Select the study design that most closely fits the one you are looking at. 4. Determine whether the study samples are independent, dependent, or mixed.
  • 49.
    Statistical Tests SOMECOMMON STATISTICAL TESTS IN RESEARCH
  • 50.
    Chi-Square  Nominal orordinal data  Tests for differences between expected frequencies if groups are alike and frequencies actually observed in the data
  • 51.
    Chi-Square Regular No Regular ExerciseExercise Total Male 35 15 50 Female 10 40 50 Total 45 55 100
  • 52.
    Chi-Square  Indicate thatthere is a significant difference between some of the cells in the table  The difference may be between only two of the cells, or there may be differences among all of the cells.  Chi-square results will not tell you which cells are different.
  • 53.
  • 54.
    Pearson Product-Moment Correlation Tests for the presence of a relationship between two variables  Works with all types of data
  • 55.
    Correlation  Performed ondata collected from a single sample  Measures of the two variables to be examined must be available for each subject in the data set.
  • 56.
    Correlation  Results  Natureof the relationship (positive or negative)  Magnitude of the relationship (–1 to +1)  Testing the significance of a correlation coefficient
  • 57.
    Response Question  Whichare the following are significant?  A. r = 0.56 (p = 0.03)  B. r = –0.13 (p = 0.2)  C. r = 0.65 (p < 0.002)
  • 58.
  • 59.
    Factor Analysis  Examinesrelationships among large numbers of variables  Disentangles those relationships to identify clusters of variables most closely linked  Sorts variables according to how closely related they are to the other variables  Closely related variables grouped into a factor
  • 60.
    Factor Analysis  Severalfactors may be identified within a data set  The researcher must explain why the analysis grouped the variables in a specific way  Statistical results indicate the amount of variance in the data set that can be explained by each factor and the amount of variance in each factor that can be explained by a particular variable
  • 61.
    Regression Analysis  Usedwhen one wishes to predict the value of one variable based on the value of one or more other variables
  • 62.
    Regression Analysis  Theoutcome of analysis is the regression coefficient R  When R is squared, it indicates the amount of variance in the data that is explained by the equation  R2 = 0.63
  • 63.
  • 64.
    T-test  Requires intervallevel measures  Tests for significant differences between two samples  Most commonly used test of differences
  • 65.
  • 66.
    Analysis of Variance ANOVA  Tests for differences between means  Allows for comparison of groups
  • 67.
  • 68.
    Results A SUMMARY OFTHE TYPES OF RESULTS YOU WILL FIND IN EXPERIMENTAL AND QUASI-EXPERIMENTAL RESEARCH STUDIES
  • 69.
    Types of Results Significantand predicted Nonsignificant Significant and not predicted Mixed Unexpected
  • 70.
    Significant and Predicted Support logical associations between variables  As expected by the researcher
  • 71.
    Nonsignificant  Negative orinconclusive results  No significant differences or relationships
  • 72.
    Significant and Unpredicted Opposite of what was expected  Indicate potential flawed logic of researcher
  • 73.
    Mixed  Most commonoutcome of studies  One variable may uphold predicted characteristics, whereas another does not  Or two dependent measures of the same variable may show opposite results.
  • 74.
    Unexpected  Relationships betweenvariables that were not hypothesized and not predicted from the framework being used
  • 75.
  • 76.
    Findings  Results ofa research study that have been translated and interpreted
  • 77.
  • 78.
    Clinically Significant Findings Practical application of findings  Somewhat based on opinion
  • 79.
    Conclusions  A synthesisof findings  Researchers should not go beyond what the findings state or interpret too much!
  • 80.
    Implications  The meaningfor nursing practice, research, and/or education  Specific suggestions for implementing the findings
  • 81.
  • 82.
    Critical Appraisal 1. Whatstatistics were used to described the characteristics of the sample? 2. Are the data analysis procedures clearly described? 3. Did statistics address the purpose of the study? 4. Did the statistics address the objectives, questions or hypotheses of the study? 5. Were the statistics appropriate for the level of measurement of each variable?
  • 83.
    Critical Appraisal 1. Whatstatistics were used to described the characteristics of the sample? 2. Are the data analysis procedures clearly described? 3. Did statistics address the purpose of the study? 4. Did the statistics address the objectives, questions or hypotheses of the study? 5. Were the statistics appropriate for the level of measurement of each variable?
  • 84.
    Critical Appraisal 1. Whatstatistics were used to described the characteristics of the sample? 2. Are the data analysis procedures clearly described? 3. Did statistics address the purpose of the study? 4. Did the statistics address the objectives, questions or hypotheses of the study? 5. Were the statistics appropriate for the level of measurement of each variable?
  • 85.
    Critical Appraisal 1. Whatstatistics were used to described the characteristics of the sample? 2. Are the data analysis procedures clearly described? 3. Did statistics address the purpose of the study? 4. Did the statistics address the objectives, questions or hypotheses of the study? 5. Were the statistics appropriate for the level of measurement of each variable?
  • 86.
    Critical Appraisal 1. Whatstatistics were used to described the characteristics of the sample? 2. Are the data analysis procedures clearly described? 3. Did statistics address the purpose of the study? 4. Did the statistics address the objectives, questions or hypotheses of the study? 5. Were the statistics appropriate for the level of measurement of each variable?
  • 87.
    Critical Appraisal 1. Whatstatistics were used to described the characteristics of the sample? 2. Are the data analysis procedures clearly described? 3. Did statistics address the purpose of the study? 4. Did the statistics address the objectives, questions or hypotheses of the study? 5. Were the statistics appropriate for the level of measurement of each variable?
  • 88.