The method used by laboratorians to monitor data values and determine if errors are present as these will be affecting the quality of the test
Types of statistics used in clinical laboratory
Descriptive statistics
Inferential statistics
Descriptive statistics
Data values are plotted in graphical representations to visualize patterns
Descriptive statistics include analysis of patterns described by their center, spread and shape to evaluate test quality
Measures of center
Mean
Median
Mode
Mean
The average of the data values
Median
The middle point of the data
Mode
The most frequently occurring value
Measures of spread
Range
Standard deviation
Coefficient of variation
Range
The difference between the highest and lowest data value
Standard deviation
The distribution of all data around the mean
Coefficient of variation
Expresses standard deviation as a percentage of the mean
Shape of data distribution
Normal distribution (Gaussian curve)
Skewed distribution
Bimodal distribution
Inferential statistics
Involves drawing conclusions about the means or standard deviations of two sets or groups of data
Calculating standard deviation
1. Determine variance first
2. Take square root of variance
T-test
Measures significant difference between means of two groups
F-test
Measures significant difference between standard deviations of two groups
COM (Comparison of Methods)
Involves measuring a sample using the test method and a reference method to determine the relationship between them
Linear regression
Describes the relationship between two variables mathematically with the formula y = mx + b
Correlation coefficient
Indicates the strength of the relationship between two methods, ranging from -1 to +1
Method evaluation
1. Method selection
2. Validation
3. Implementation
4. Routine testing
Imprecision
Dispersion of repeated measurements about the mean due to random error
Inaccuracy
Difference between a measured value and its true value due to systematic error
Allowable error
The maximum error allowable which will not cause a negative effect on the performance of the test
Types of error
Random error
Systematic error (proportional and constant)
Quality control
Includes detection of analytic error that could affect the quality of the test and lead to erroneous patient results
Quality control terms
Accuracy
Precision (reproducibility and repeatability)
Controls
Control limits
Standards
Reliability
Performing quality control
1. Assay controls the same way as patient samples
2. Compare determined control value to expected value
3. Values outside control limits require further analysis
Types of quality control
Intralab QC (internal)
Interlab QC (external)
Histogram
A graphical representation used to locate the source of error
Histogram analysis techniques
CUSUM (Cumulative Sum)
Youden plot (Twin plot)
Levey-Jennings chart
Histogram
Sheet of rectangular coordinate of graphing paper where data for analysis are plotted to locate the source of error
CUSUM (Cumulative Sum)
1. Calculating the actual difference between the individual values and the expected mean value
2. Determining the sum of this difference to check cumulative effect of all control observations
If CUSUM is used, Levey-jennings is also done
Youden plot (Twin plot)
Compares the results acquired to a high or low control serum
Levey-Jennings
Most commonly used histogram, used to display and detect trends, shifts and dispersion
TREND
Displayed when the control value direction moves progressively in one direction (progressive increase or decrease), indicating deterioration of reagent or control
SHIFT
Displayed when abrupt changes occur, indicating sudden malfunction of the instrument
DISPERSION
Occurs when random error or lack of precision increases, referring to the increased frequency of both high and low outliers
Westgard Multirules
1:2s - One value exceeds the ± 2SD
1:3s - One value exceeds the ± 3SD
R:4s - One value exceeds the +2SD and another exceeds - 2SD (the two values are distant by 4 SD)
2:2s - Two consecutive values exceed either the +2SD or -2SD
4:1s - Four consecutive values exceed either the +1SD or -1SD
10x - Ten consecutive values fall on one side or the other of the mean