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.
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.
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
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
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
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
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
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.
Chi-Square
Nominal orordinal data
Tests for differences between expected
frequencies if groups are alike and frequencies
actually observed in the data
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.
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)
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
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.
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?