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Statistics
It is the mathematical science of collecting,
analyzing, interpreting, and presenting data.
Data
Discrete entities are described objectively without interpretation.
Quantitative data
measurable data that focus on numbers and frequencies, such as repeat analysis data or patient waiting time.
Qualitative data
provide information about descriptive characteristics and are based on observation rather than measurable data
Population
It comprises the entire set or group of items being measured
Sample
It is the number of items actually measured from a population.
Dataset
It is the information or measurements acquired by evaluating the particular sample
Frequency
It is the number of times a particular value of a variable occurs or the number
of observations of an event.
Dependent variables
Observed in statistical studies to change in response to independent variables
and are not controlled during the study.
Dependent variables
It can also be referred to as response variables, measured variables, or
output variables.
- Response variables
- Measured variables
- Output variables
Dependent variables can also be referred to as ..., ..., or ...
Independent variables
Deliberately manipulated to change the dependent variables.
predictor variables or input variables
Independent variables may also be referred to as ... or ...
Continuous variables
Being studied that have an infinite range of possible mathematical values.
Dichotomous variable
Being studied that have only two opposing choices, such as on or off, black or
white, etc.
Central Tendency
The central position of a sample frequency
Mean
Is the most reliable of the three measures of central tendency.
Mean
The calculated average of a set of observations
µ, x ̄ , or M
Mean is denoted by ...
Median
A point in a data distribution above which exactly half of the values lie and below which the other half lie.
Median
it is the numeric middle or halfway point in the
observed dataset
Mode
The one value that occurs with the greatest frequency in the dataset.
mode
The ... provides information about the most typical occurrence, but this is usually just a rough estimate of the central value.
Reliability
The consistency of repeated measurements of the same thing, or the reproducibility or variation of a result
Precision
Reliability is sometimes known as ...
Accuracy
The ability to measure what is purported to be measured
Validity
Accuracy aka ...
Bias
A systematic or nonrandom difference between the true value of a property
and individual measurements of that property, or the presence of a systematic
error.
prejudice
Sometimes bias in a statistical context is thought of as being synonymous with the term ...
Measurement error
refers to the difference between the measured value and
the true value of the variable being measured.
Systematic errors
result from factors such as malfunctioning equipment, not correcting all outside influences, and poor design of the data collection process.
Determinate errors
Systematic errors aka ...
Random errors
are caused by statistical fluctuations or uncertainties such as quantum mottle.
Indeterminate errors
Random errors aka ...
Range
The difference between the highest and lowest values or the width of the distribution of values and is a measure of the dispersion of the data distribution.
Standard deviation
The range of variation or dispersion of a set of values surrounding the
mean, or the spread or distribution of a dataset
SD or sigma (σ)
Standard deviation can be symbolized
by the capital letters ... or the small Greek letter ...
Variance
The square of the standard deviation in Poisson statistics, and is used to determine if the separate means of several different groups differ significantly from each other (e.g., between male and female patients, different age groups).
Gaussian Distribution
it is also known as a normal distribution and creates a bell-shaped curve that is
continuous, with both tails extending to infinity.
Carl Friedrich Gauss
Gaussian Distribution was named after the German mathematician, ...
Poisson Distribution
is a discrete probability
distribution that is used to determine whether events occur randomly or not
(such as the number of particles emitted by a radioactive source in a given
period of time).
Simeon Poisson
Poisson distribution is named after a French mathematician, ...
Variation
Refers to anything that would cause a process to deviate from acceptable
standards (or the norm)
Accuracy
Validity sometimes referred to as ...
Construct validity
the extent to which a measure would agree with other survey instruments that have been used to measure the same parameters
and have proven accuracy.
Content validity
the extent to which a survey will cover all of the content area.
Criterion validity
compares the results obtained in a survey to an
established criterion measure or benchmark.
- flowcharts
- cause-and-effect diagrams
- histograms
- Pareto charts
- scatterplots
- trend charts
- control charts.
Seven basic statistical tools:
Flowchart
A pictorial representation of the individual steps that can be contained in a process.
Flowchart
It is designed to present the sequence of events in the process from its beginning point to its end point.
Terminal symbol
is a rounded rectangle or oval that identifies
the beginning or end of a process.
Activity symbol
The ... symbol in a flowchart is a rectangle.
Decision symbol
The ... symbol is a diamond.
Cause-and-Effect diagram
A causal analysis tool
Fishbone chart or Ishikawa diagram
Cause-and-Effect diagram aka ... or ...
Kaoru Ishikawa, University of Tokyo, 1943
Cause-and-Effect diagram was developed by ... of the ... in ...
Cause-and-Effect diagram
It is used to demonstrate the causes and effects of different variables or
conditions on a key quality characteristic graphically and, thereby,
potential areas for improvement.
Root Cause Analysis (RCA)
Cause-and-Effect diagram is useful in identifying multiple causes of problems during ... studies
Histogram
A data display tool in the form of a bar graph that often plots the most frequent occurrence of a quantity in the center.
Value, height
A histogram differs from a bar graph in that it is the area of the bar(s) that
denotes the ..., not the ... of the bars.
scorecard display
Histograms can also be adapted in a "..." in which the bars are color-coded
Green
is used if the goal or benchmark has been met or exceeded,
Yellow
is used if it is within a certain percentage of the goal
Red
indicates that the goal or benchmark has not been met.
Gantt charts
... was devised by Henry Gan in the 1910s and is used to illustrate a project's schedule, including start date, progress status, and
projected completion date(s).
Henry Gan, 1910s
Gantt chart was devised by ... in the ... and is used to illustrate a project's schedule, including start date, progress status, and projected completion date(s).
Pareto chart
A causal analysis tool that is named after Wilfredo Pareto, a seventeenth-
century Italian political economist.
Wilfredo Pareto
Pareto chart is a causal analysis tool that is named after ..., a seventeenth-
century Italian political economist.
80/20 rule (80%, 20%)
The Pareto chart was developed to illustrate the ... Rule (that ... of the problems stem from ... of the causes).
Pareto chart
The ... is useful in identifying the main causes (i.e., those that
occur with the greatest frequency) of problems and in demonstrating the
results of improvement strategies that have been implemented.
frequency, severity
It is important to note that Pareto charts document the ... of causes and not necessarily the ... of a cause
Scatterplot
It is a traditional two-axis graph (x-axis and y-axis), with several data
points that have been plotted throughout.
scatter diagram
Scatterplot aka ...
Scatterplot
It is designed to determine whether a relationship exists between two
different variables in a process.
positive correlation
A ... is indicated when both the x and y values increase in relation to each other.
negative correlation
A ... is demonstrated when there is an increase in the x variable in relation to a decrease in the y variable.
Trend chart
Pictorially demonstrates whether key indicators are moving up or down
over a given period of time on an ongoing basis.
Run chart or run-sequence plot
Trend chart is aka ... or ...
Trending
... refers to the evaluation of data collected over a period of time for the purpose of identifying patterns or changes.
Control chart
A modification of the trend chart in which statistically determined upper and lower control limits are placed with a central line that indicates an accepted norm.
Walter A. Shewhart, Bell Labs, 1920s
The control chart was invented by ... while working at ... in the ...
Shewhart chart or process/behavior
chart.
Control chart is sometimes referred to as ... or ...
Strategic plan
Quality improvement plan is aka ...
Quality improvement plan
It is an organizational plan that describes the goals and proposed activities
of a particular quality improvement program.
Quality improvement plan
It must incorporate current standards and benchmarks, performance appraisal, professional assessment and improvement, and specific program needs.
Quality improvement plan
PURPOSE: To provide a formal ongoing process by which an organization
utilizes objective measures to monitor and evaluate the quality of services,
both clinical and operational, provided to patients.
Performance measures
... are designed to measure systems of care and are derived from clinical or practice guidelines.
Performance measurement
... is a process by which a healthcare organization monitors important aspects of its programs, systems, and processes.
Performance management
... is a forward-looking process that is used to set goals and regularly check progress toward achieving those goals.
1. Performance measures
2. Performance measurement
3. Performance management
Quality improvement plans:
1. Examination appropriateness
2. Procedure protocol or workflow
3. Accuracy of interpretation
4. Communication of imaging results
5. Measuring and monitoring performance improvement in quality, safety, and efficiency
5 Dimensions to quality in diagnostic imaging:
Key Performance Indicators (KPIs)
The critical indicators of progress toward an intended result.
1. Financial
2. Operational
3. Quality
Key Performance Indicators (KPIs):
Financial
a measurable value that indicates how well an organization or department is doing regarding generating revenue and profits.
Operational
measures how busy the department is as well as how
efficient it is in handling the work volume.
Quality
measures the desired outcome of the department.
Dashboard
A concise, context-specific display of KPIs for quick evaluation of multiple subsystems
Brainstorming
is a group process used to develop a large collection of
ideas without regard to their merit or validity.
Focus group
is a small group that focuses on a particular problem and then hopefully derives a solution.
quality improvement team
is a group of individuals who implement the
solutions that were derived by the focus group.