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Error
defined as a deviation from the absolute value or from the true average of a large number of results.
systematic error or
indeterminate error
Error can be classified as ____
Systematic Errors
Classes of Errors:
errors that are REPRODUCIBLE and can be DISCOVERED and CORRECTED.
determinate errors
Systematic Errors also known as
Gross Error
Classes of Error:
takes into account human oversight and other mistakes while reading, recording, and readings.
easily recognized since they involve a major breakdown in the analytical process such as:
• samples being spilt,
• wrong dilutions being prepared
• instruments breaking down or being used in the wrong way
Instrumental Error
Method Error
Personal Error
Types of Systematic Error (3)
Instrumental Error
Types of Systematic Error:
-failure to calibrate, degradation of parts in the instrument, power fluctuations, variation in temperature
Method Errors
Types of Systematic Error:
errors due to no ideal physical or chemical behaviour, completeness and speed of reaction, interfering side reactions, sampling problems.
Personal errors
Types of Systematic Error:
occur where measurements require judgment, result from prejudice, color acuity problems, negligence to follow proper procedures
Random Errors
Classes of Errors:
observed by the same analyst when the successive measurements are made with the same identical conditions.
*acceptable error
indeterminate errors
Random Errors also known as
random error
appear as slight variations in successive measurements due to causes that the analyst can not control.
Random error
*May progress to determinate error
• Proper calibration of the glass ware, pipettes, burettes, weights, balances, instruments, etc.
• By running the blank with the sample.
• By running the parallel determinations.
• Correctly recording and computing data results
• By Validation
Minimization of Errors (5)
blank solution
defined as the solution by omitting the sample addition.
The blank and the sample solutions are carried simultaneously to obtain the accurate results.
Validation
Minimizing error:
is establishing DOCUMENTED EVIDENCE which provides a high degree of assurance that a specific process, method, system, activity or equipment CONSISTENTLY produce a product meeting its predetermined specifications
1. Accuracy
2. Precision
Measure of Data Quality (2)
Accuracy
pertains to agreement of an experimental results with true value
Precision
is the measure of reproducibility of data within a series of results.
Accurate but not precise
If repeated measurements are all close to the true value but spread out from each other, the results are:
Neither accurate nor precise
If measurements are neither close to each other nor to the true value, the results are:
Precise but not accurate
A weighing scale consistently gives a weight of 100.0 g for a 95.0 g standard. The scale is:
Precise but not accurate
If a target is hit in a tight cluster but far from the bullseye, the measurements are:
accurate and precise
Results should be ___ and ___
68%
In a normal distribution, ____ of the values should fall within ONE standard deviation in either side of the mean
95%
__ should fall within TWO standard deviations of the mean
mean
standard deviation should be a small percentage of the ____.
Mean
Data Treatment:
measure of central tendency
Range
Data Treatment:
difference between largest/smallest observations in a set of data
Average Deviation
Data Treatment:
measures the difference of the actual values with the mean value
Relative average deviation
Data Treatment:
determined by dividing the average deviation by the mean
Variance
Data Treatment:
sum of squares difference of the actual values with the mean value/total number of samples
Standard Deviation
Data Treatment:
square root of variance
Relative Standard Deviation (%RSD)
- Is used to measure precision of a data set.
• SD/ Mean x 100
Percentage Relative Error (E)
is a measure of the accuracy of the method.
Validation of Analytical Methods
process by which it is established, by laboratory studies, that the performance characteristics of the procedure meet the requirements for the intended analytical applications.
Method validation
provides an assurance of reliability during normal use, and is sometime referred to as "the process for providing documented evidence that the method does what it is intended to do.
• For identification of sources and quantitation of potential error
• To determine if method is acceptable for intended use.
• To satisfy FDA requirements
• To ensure the consistency of the output
Purpose of Validation (4)
1. Identification tests
2. Quantitative tests for impurities content.
3. Limit tests for the control of impurities .
4. Quantitative tests of the active moiety in samples of drug substance.
TYPES OF ANALYTICAL PROCEDURES TO BE VALIDATED (4)
1. Accuracy
2. Precision
3. Range
4. Specificity
5. Linearity
6. Ruggedness
VALIDATION PARAMETERS
Accuracy
____ of analytical procedure is the
closeness of test results obtained by
that procedure to the true value.
Accuracy
Determined by application of the analytical procedure to an analyte of known purity (e.g. A Reference Standard).
Accuracy
should be assessed using a minimum of NINE determinations over a minimum of THREE concentration levels, covering specified range.
i.e 3 conc and 3 replicates of each conc
PRECISION
degree of agreement among individual test results when the procedure is applied repeatedly to multiple samplings of a homogeneous sample.
Precision
may be a MEASURE of either the degree of reproducibility or of REPEATABILITY of the analytical procedure under normal operating conditions.
1. Repeatability
2. Intermediate precision
3. Reproducibility
3 Levels of Precision
Repeatability
expresses the precision under the SAME OPERATING CONDITIONS over a short interval of time.
intra-assay precision
Repeatability is also termed ___.
Intermediate precision
expresses variations within LABORATORIES, such as different days, different analysts, different equipment, and so forth.
- to verify that in the same laboratory the method will provide the SAME RESULTS once the development phase is over.
Reproducibility
expresses the precision between laboratories.
The objective of this is to verify that the method will provide the SAME RESULTS IN DIFFERENT LABORATORIES
SPECIFICITY
ability to measure accurately and
specifically the analyte of interest in the presence of other components that may be expected to be present in the sample matrix
In case of identification tests, the method should be able to discriminate between compounds of closely related structures which are likely to be present.
DETECTION LIMIT
lowest amount of analyte in sample that can be detected, but not necessarily quantitated, under the stated experimental conditions.
usually expressed as the concentration of analyte (e.g., percentage, parts per billion) in the sample
limit tests
detection limit is a characteristic of __
QUANTITATION LIMIT
lowest amount of analyte in a sample that can be determined with acceptable precision and accuracy under the stated experimental conditions.
quantitation limit
is characteristic of quantitative assays for low levels of compounds in sample matrices, such as impurities in bulk drug substances and degradation products in finished pharmaceuticals.
LINEARITY
ability to elicit test results that are directly, or by a well-defined mathematical transformation, proportional to the concentration of analyte in samples within a given range.
linearity
refers to the linearity of the relationship of concentration and assay measurement.
LINEARITY
> By Visual Inspection of plot of signals vs. analyte concentration
> By Appropriate statistical methods
• Linear Regression (y = mx + b)
• Correlation Coefficient, y-intercept (b), slope (m)
> Acceptance criteria: Linear regression rz > 0.95
> Requires a minimum of 5 concentration levels
RANGE
interval from the upper to the lower concentration (amounts) of analyte in the sample for which it has been demonstrated that the analytical procedure has a suitable level of precision, accuracy and linearity
ROBUSTNESS
the measure of its capacity to remain unaffected by small but deliberate variations in procedural parameters listed in the procedure documentation and provides an indication of its suitability during normal usage.
RUGGEDNESS
Refers to the degree of reproducibility of test results under a variety of conditions
Different laboratories
Different Analysts
Different Instruments
Different Days
Ruggedness (4)
Category I: quantitation of major components
Category II: determination of impurities
Category III: determination of performance characteristics
Category IV: Identification tests.
Data Elements Required for
Validation: (4)