Validation of lab instruments and quantitative test methods Mostafa Mahmoud
This lecture shows the procedures applied when going to validate your laboratory instruments and quantitative test methods also either FDA approved or laboratory developed tests.
Troubleshooting QC Problems: Your QC has failed, what do you do next?Randox
Randox Quality Control's next 'Improving Laboratory Performance Through Quality Control' educational guide has been published with helpful tips that your laboratory can use in order to ensure it has effective troubleshooting procedures in place.
So you ran QC this morning and realised that one of your analytes has been flagged as 'out-of-control', what do you do next? Do you ignore the warning and continue patient testing, repeat the control until it's within range or do you halt patient testing and investigate the source of the error?
When it comes to troubleshooting QC errors, unfortunately there is no easy path to take. However, it's important that you have standard operating procedures in place, outlining what to do in the event of an out-of control error. Errors occur in laboratories all over the world. A lab with effective troubleshooting procedures in place will still have errors but will be able to detect them, quickly reducing their impact and reducing the risk of wasting both time and money.
Validation of lab instruments and quantitative test methods Mostafa Mahmoud
This lecture shows the procedures applied when going to validate your laboratory instruments and quantitative test methods also either FDA approved or laboratory developed tests.
Troubleshooting QC Problems: Your QC has failed, what do you do next?Randox
Randox Quality Control's next 'Improving Laboratory Performance Through Quality Control' educational guide has been published with helpful tips that your laboratory can use in order to ensure it has effective troubleshooting procedures in place.
So you ran QC this morning and realised that one of your analytes has been flagged as 'out-of-control', what do you do next? Do you ignore the warning and continue patient testing, repeat the control until it's within range or do you halt patient testing and investigate the source of the error?
When it comes to troubleshooting QC errors, unfortunately there is no easy path to take. However, it's important that you have standard operating procedures in place, outlining what to do in the event of an out-of control error. Errors occur in laboratories all over the world. A lab with effective troubleshooting procedures in place will still have errors but will be able to detect them, quickly reducing their impact and reducing the risk of wasting both time and money.
Quality in clinical laboratory is a continuous journey of improving processes through team work, innovative solutions, regulatory compliance with final objective to meet the evolving needs of clinicians & patients.
What do clinicians need to know about lab tests?Ola Elgaddar
A presentation in the Annual meeting of the Egyptian American Scholars (AEAS) in Cairo 2015.
I am trying here to describe, in short, from my point of view as a laboratorian, the points that we need to discuss with clinicians. Both groups should share some terms and definitions and should see things from the same perspective!
How often is Right for Laboratory Quality Control?Randox
Improving Laboratory Performance Through QC - How often is right for QC? Ask the Right Questions to get the Right Answers.
It is widely accepted that laboratories should perform QC at least every day of patient testing. However, is this adequate for every assay and for every laboratory? Is running QC once per day really sufficient? what is the "right" frequency for running QC samples in your laboratory?
Quality control lecture CPath master 2014 Ain ShamsAdel Elazab Elged
Basics of quality management or assurance program detailing values of internal quality control material analysis and interpretation and external quality control or proficiency testing programs in medical laboratories
A routine session on quality assurance practice in a medical laboratory to sensitize and provide basics to those interested in working in a medical testing laboratory.
Quality in clinical laboratory is a continuous journey of improving processes through team work, innovative solutions, regulatory compliance with final objective to meet the evolving needs of clinicians & patients.
What do clinicians need to know about lab tests?Ola Elgaddar
A presentation in the Annual meeting of the Egyptian American Scholars (AEAS) in Cairo 2015.
I am trying here to describe, in short, from my point of view as a laboratorian, the points that we need to discuss with clinicians. Both groups should share some terms and definitions and should see things from the same perspective!
How often is Right for Laboratory Quality Control?Randox
Improving Laboratory Performance Through QC - How often is right for QC? Ask the Right Questions to get the Right Answers.
It is widely accepted that laboratories should perform QC at least every day of patient testing. However, is this adequate for every assay and for every laboratory? Is running QC once per day really sufficient? what is the "right" frequency for running QC samples in your laboratory?
Quality control lecture CPath master 2014 Ain ShamsAdel Elazab Elged
Basics of quality management or assurance program detailing values of internal quality control material analysis and interpretation and external quality control or proficiency testing programs in medical laboratories
A routine session on quality assurance practice in a medical laboratory to sensitize and provide basics to those interested in working in a medical testing laboratory.
Presentación basada en un paquete de actividades elaborado con Ardora, en el marco del curso de Diseño de Materiales para Moodle con Recursos Open Source (UTN / Net-Learning)
Harmonization of Laboratory Indicators, 09 03-2017Ola Elgaddar
Most of Medical labs are having KPIs to monitor their performance and enhance process improvement. This presentation discusses in short the IFCC attempts to reach a consensus and harmonize medical labs quality indicators.
ELISA is one of the commonly used laboratory techniques. As it is a multi-step manual technique, every step should be carefully monitored. Here is a short presentation on the common things that should be considered when using ELISA.
Strategic planning, Ola Elgaddar, 12 12-2016Ola Elgaddar
A simple introduction to the basic concepts of strategic planning addressing anyone who works in any organization, aiming at elucidating some vague terms like strategy, environmental scanning, mission, vision,......!!
It is very important to every employee, who is a bit away from decision makers in his organization, to know the basic concepts at least.
This content is suitable for medical technologists/technicians/lab assistants/scientists writing the SMLTSA board exam. The content is also suitable for biomedical technology students and people also interested in learning about test methodologies used in medical technology. This chapter describes test quality assurance (QA) and quality control (QC). Please note that these notes are a collection I used to study for my board exam and train others who got distinctions using these.
Disclaimer: Credit goes to those who wrote the notes and the examiners of each exam question. Please use only as a reference guide and use your prescribed textbook for the latest and most accurate notes and ranges. The material here is not referenced as it is a collection of pieces of study notes from multiple people, and thus will not be held viable for any misinterpretations. Please use at your own discretion.
Quality control (QC) is a procedure or set of procedures intended to ensure that a manufactured product or performed service adheres to a defined set of quality criteria or meets the requirements of the client or customer. QC is similar to, but not identical with, quality assurance (QA).
QC IN clinical biochemistry labs and hospitals
Understanding of Analytical Method Validation Approach in Pharmaceutical Industry. Analytical method validation Verification is a wide chapter and a huge scope of applicability. In different types of methods, instrument, measurement approach all can effect the validation effort. However the basic fundamental will remains same, the parameters, acceptance criteria, functionality may vary depending upon the type of method, instrument etc.
Systematic error means that your measurements of the same thing will vary in predictable ways: every measurement will differ from the true measurement in the same direction, and even by the same amount in some cases
Random error is a chance difference between the observed and true values of something (e.g., a researcher misreading a weighing scale records an incorrect measurement).
Enhancing Laboratory Leadership through Financial Management Skills.pptxOla Elgaddar
In our recent presentation titled 'Strengthening Lab Leadership through Financial Management,' we explored how financial skills can enhance lab management. Attendees discovered practical ways to leverage financial tools for more effective resource allocation and sustainable growth. The session showcased how mastering financial management can streamline lab operations and improve overall leadership performance.
Are we using the correct quality goals?Ola Elgaddar
Setting quality goals / specifications is a debatable issue since 1999. I am trying here to show the options and the continuos trials from several professional bodies to reach a consensus in this matter.
This was an oral presentation in the first international conference of the Chemical Pathology Department, Medical Research Institute, Alexandria University - February 2016
Laboratory diagnosis of H. Pylori infection, Ola ElgaddarOla Elgaddar
A short presentation for the different laboratory techniques used in diagnosing Helicobacter Pylori infection. A special focus is given for the diagnostic performance of every test.
The forth lecture about the "Cell".
Here, I am discussing the several signaling pathways.....It is highly dependent on the 3rd lecture; Receptors.
Enjoy :)
This is the first one of a series of lectures about the "Cell". I am here introducing some basic principles about the cell structure, types, histology and biochemistry
Medical Technology Tackles New Health Care Demand - Research Report - March 2...pchutichetpong
M Capital Group (“MCG”) predicts that with, against, despite, and even without the global pandemic, the medical technology (MedTech) industry shows signs of continuous healthy growth, driven by smaller, faster, and cheaper devices, growing demand for home-based applications, technological innovation, strategic acquisitions, investments, and SPAC listings. MCG predicts that this should reflects itself in annual growth of over 6%, well beyond 2028.
According to Chris Mouchabhani, Managing Partner at M Capital Group, “Despite all economic scenarios that one may consider, beyond overall economic shocks, medical technology should remain one of the most promising and robust sectors over the short to medium term and well beyond 2028.”
There is a movement towards home-based care for the elderly, next generation scanning and MRI devices, wearable technology, artificial intelligence incorporation, and online connectivity. Experts also see a focus on predictive, preventive, personalized, participatory, and precision medicine, with rising levels of integration of home care and technological innovation.
The average cost of treatment has been rising across the board, creating additional financial burdens to governments, healthcare providers and insurance companies. According to MCG, cost-per-inpatient-stay in the United States alone rose on average annually by over 13% between 2014 to 2021, leading MedTech to focus research efforts on optimized medical equipment at lower price points, whilst emphasizing portability and ease of use. Namely, 46% of the 1,008 medical technology companies in the 2021 MedTech Innovator (“MTI”) database are focusing on prevention, wellness, detection, or diagnosis, signaling a clear push for preventive care to also tackle costs.
In addition, there has also been a lasting impact on consumer and medical demand for home care, supported by the pandemic. Lockdowns, closure of care facilities, and healthcare systems subjected to capacity pressure, accelerated demand away from traditional inpatient care. Now, outpatient care solutions are driving industry production, with nearly 70% of recent diagnostics start-up companies producing products in areas such as ambulatory clinics, at-home care, and self-administered diagnostics.
The Importance of Community Nursing Care.pdfAD Healthcare
NDIS and Community 24/7 Nursing Care is a specific type of support that may be provided under the NDIS for individuals with complex medical needs who require ongoing nursing care in a community setting, such as their home or a supported accommodation facility.
Leading the Way in Nephrology: Dr. David Greene's Work with Stem Cells for Ki...Dr. David Greene Arizona
As we watch Dr. Greene's continued efforts and research in Arizona, it's clear that stem cell therapy holds a promising key to unlocking new doors in the treatment of kidney disease. With each study and trial, we step closer to a world where kidney disease is no longer a life sentence but a treatable condition, thanks to pioneers like Dr. David Greene.
One of the most developed cities of India, the city of Chennai is the capital of Tamilnadu and many people from different parts of India come here to earn their bread and butter. Being a metropolitan, the city is filled with towering building and beaches but the sad part as with almost every Indian city
Empowering ACOs: Leveraging Quality Management Tools for MIPS and BeyondHealth Catalyst
Join us as we delve into the crucial realm of quality reporting for MSSP (Medicare Shared Savings Program) Accountable Care Organizations (ACOs).
In this session, we will explore how a robust quality management solution can empower your organization to meet regulatory requirements and improve processes for MIPS reporting and internal quality programs. Learn how our MeasureAble application enables compliance and fosters continuous improvement.
Navigating Challenges: Mental Health, Legislation, and the Prison System in B...Guillermo Rivera
This conference will delve into the intricate intersections between mental health, legal frameworks, and the prison system in Bolivia. It aims to provide a comprehensive overview of the current challenges faced by mental health professionals working within the legislative and correctional landscapes. Topics of discussion will include the prevalence and impact of mental health issues among the incarcerated population, the effectiveness of existing mental health policies and legislation, and potential reforms to enhance the mental health support system within prisons.
Explore our infographic on 'Essential Metrics for Palliative Care Management' which highlights key performance indicators crucial for enhancing the quality and efficiency of palliative care services.
This visual guide breaks down important metrics across four categories: Patient-Centered Metrics, Care Efficiency Metrics, Quality of Life Metrics, and Staff Metrics. Each section is designed to help healthcare professionals monitor and improve care delivery for patients facing serious illnesses. Understand how to implement these metrics in your palliative care practices for better outcomes and higher satisfaction levels.
CHAPTER 1 SEMESTER V - ROLE OF PEADIATRIC NURSE.pdfSachin Sharma
Pediatric nurses play a vital role in the health and well-being of children. Their responsibilities are wide-ranging, and their objectives can be categorized into several key areas:
1. Direct Patient Care:
Objective: Provide comprehensive and compassionate care to infants, children, and adolescents in various healthcare settings (hospitals, clinics, etc.).
This includes tasks like:
Monitoring vital signs and physical condition.
Administering medications and treatments.
Performing procedures as directed by doctors.
Assisting with daily living activities (bathing, feeding).
Providing emotional support and pain management.
2. Health Promotion and Education:
Objective: Promote healthy behaviors and educate children, families, and communities about preventive healthcare.
This includes tasks like:
Administering vaccinations.
Providing education on nutrition, hygiene, and development.
Offering breastfeeding and childbirth support.
Counseling families on safety and injury prevention.
3. Collaboration and Advocacy:
Objective: Collaborate effectively with doctors, social workers, therapists, and other healthcare professionals to ensure coordinated care for children.
Objective: Advocate for the rights and best interests of their patients, especially when children cannot speak for themselves.
This includes tasks like:
Communicating effectively with healthcare teams.
Identifying and addressing potential risks to child welfare.
Educating families about their child's condition and treatment options.
4. Professional Development and Research:
Objective: Stay up-to-date on the latest advancements in pediatric healthcare through continuing education and research.
Objective: Contribute to improving the quality of care for children by participating in research initiatives.
This includes tasks like:
Attending workshops and conferences on pediatric nursing.
Participating in clinical trials related to child health.
Implementing evidence-based practices into their daily routines.
By fulfilling these objectives, pediatric nurses play a crucial role in ensuring the optimal health and well-being of children throughout all stages of their development.
R3 Stem Cells and Kidney Repair A New Horizon in Nephrology.pptxR3 Stem Cell
R3 Stem Cells and Kidney Repair: A New Horizon in Nephrology" explores groundbreaking advancements in the use of R3 stem cells for kidney disease treatment. This insightful piece delves into the potential of these cells to regenerate damaged kidney tissue, offering new hope for patients and reshaping the future of nephrology.
R3 Stem Cells and Kidney Repair A New Horizon in Nephrology.pptx
Laboratory Method Verification, March 2017
1. Laboratory Method Verification
Ola H. Elgaddar
MD, PhD, MBA, CPHQ, LSSGB,
Lecturer of Chemical Pathology
Alexandria University
Ola.elgaddar@alexu.edu.eg
5. Validation / Verification??
Method validation:(Manufacturer concern)
Establishing the performance of a new
diagnostic tool.
Confirmation, through the provision of
objective evidence, that the requirements for
a specific intended use or application have
been fulfilled’ (doing correct test)......
ISO 9001:2005
6. Validation / Verification??
Method verification: (Lab / user concern)
A process to determine performance
characteristics before a test system is utilized
for patient testing.
Confirmation, through the provision of
objective evidence, that specified
requirements have been fulfilled’ (doing test
correctly)……ISO 9001:2005
7.
8. According to Westgard
Ø The inner, hidden, deeper, secret meaning
of method validation is error assessment.
ØHow much error might be present in the
test result within your laboratory ?
ØCould this degree of error affect the
interpretation and possibly patient care ?
If the potential error is large enough to lead to
misinterpretation, then the method is not
acceptable.
9.
10. Ø Random error, RE, or imprecision is
described as an error that can be either
positive or negative, whose direction and
exact magnitude cannot be predicted, where
the distribution of results when replicate
measurements are made on a single
specimen.
ØUsually, due to error in Pipetting
11.
12. Ø Systematic error, SE, or inaccuracy is an
error that is always in one direction,
displacing the mean of the distribution from
its original value.
ØIn contrast to random errors, systematic
errors are in one direction and cause all the
test results to be either high or low.
ØEither constant or proportionate
ØUsually, due to error in calibration
13.
14.
15.
16. Internal Quality Control (IQC) is used, on daily
basis, in the decision to accept or reject
results of patients samples and enables the
lab to describe and monitor the quality of its
work.
-Usually it has 2 levels (Sometimes 3);
representing the “Normal” and the
“Pathological” analyte level.
- Judged according to Westgard Multi-QC
rules
17. External Quality Control (EQC) =
Proficiency test is used, on monthly or Bi-
weekly (Or others) basis, where labs from all
over the world join the program and send their
used Method / Analyzer.
- A statistical comparison is made and each
lab result is compared to the result of its peer
group in each analyte.
18.
19. The following items need verification
ØAnalytical Specificity: Interference studies
ØAnalytical Sensitivity: Calibration curve
Detection limit
ØReportable range: Linearity experiment
ØPrecision: Replication study
ØAccuracy: Bias / Recovery study
ØReference Intervals
20.
21. Analytical Specificity
The ability of an analytical method to detect
“ONLY” the analyte of interest.
Freedom from interference by any element
or compound other than the analyte of
interest
22.
23. Analytical Specificity
- Analytical Specificity is verified using
interference studies.
- A validated method, known to be free of
the interfering substance is used. A series
of samples containing increased
concentrations of the interfering substance
are analyzed using that method, and the
method under study, then both results are
compared
27. Analytical Sensitivity
- The ability of an analytical method to
detect a low concentration of a given
substance in a biological sample. The lower
the detectable concentration, the greater
the analytical sensitivity.
- Detection limits studies
28. Analytical Sensitivity
OR,
-The ability of an analytical method to
detect (respond to) a change in
concentration of the analyte. The smaller
the detectable change (the change in
concentration that can result in a definite
change in the reported signal), the greater
is the analytical sensitivity.
- Slope of the Calibration Curve
31. STANDARD
• It is a solution of known concentration.
• Formed by dissolving a known amount of
an analyte in a specific volume of an
aqueous solvent.
• Ex: Dissolving 100 mg glucose in 100 ml
D.W gives a standard of a 100 mg / dl
concentration
32. CALIBRATOR
• A solution or a device of known
quantitative or qualitative characteristics
(eg: concentration, activity, intensity)
• Used to calibrate or adjust a measurement
procedure.
• Matrix is preserved.
33. • The calibrator material is reconstituted &
introduced to the analyzer before using a
new lot of reagent, and its concentration is
assigned.
• The calibrator is treated like samples and
the absorbance of the developed color is
determined.
34. Using the provided concentration, the analyzer
constructs a calibration curve
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
0 50 100 150 200 250
35. • If the given concentration is 100 mg / dl,
the absorbance of this point is determined.
• By providing the analyzer with the range
where this method is linear, the calibration
curve is extended so that any sample
concentration lying within that linearity
range can be deduced from this curve
36. Detection Limits
1.Lower Limit of Detection (LLD)= Limit of
the blank (LOB)
2.Biologic Limit of Detection (BLD)= Limit of
Detection (LOD)
3.Functional Sensitivity (FS)= Limit of
Quantification (LOQ)
37.
38. Detection Limits
1.Lower Limit of Detection (LLD)= Limit
of the blank (LOB)
Most analytical instruments produce a signal even
when a blank (reagent without analyte) is
analyzed. This signal is referred to as the noise
level. The LLD is the analyte concentration that is
required to produce a signal greater than two (or
three) times the standard deviation of the noise
level.
39. Detection Limits
1.Lower Limit of Detection (LLD)= Limit
of the blank (LOB)
Limit of Detection (LLD) is estimated as, the mean
of the blank sample plus 2 or 3 times the SD
obtained on the blank sample:
LLD = mean(blk) + Zs(blk)
where the Z-value is usually 2 or 3
40. Detection Limits
2.Biologic Limit of Detection (BLD)= Limit
of Detection (LOD)
-It is the limit of blank, after the addition of the
analyte of interest (Its lowest concentration)
- BLD is estimated as the LLD plus 2 or 3 times the
standard deviation obtained from the "spiked"
sample
BLD = LLD+ Zs(spk)
where the Z-value is usually 2 or 3
- Results between BLD & LLD should be reported
without quantitation
41. Detection Limits
3.Functional Sensitivity (FS)= Limit of
Quantification (LOQ)
-The lowest concentration of target compounds
that can be quantified confidently, that meets some
pre-specified targets of imprecision, commonly
CV=20%
- Several spiked concentrations must be studied to
determine the precision profile at the low
concentration range and to select the lowest
concentration at which a 20% CV is obtained.
42.
43. To Sum Up!
1.LoB is the highest apparent analyte
concentration expected to be found when
replicates of a blank sample containing no
analyte are tested.
2.LoD is the lowest analyte concentration likely to
be reliably distinguished from the LoB and at
which detection is feasible.
3.LoQ is the lowest concentration at which the
analyte can not only be reliably detected, but at
which some predefined goals are met. The LoQ
may be equivalent to the LoD or it could be at
a much higher concentration.
44.
45. Reportable Range
=
Analytical Measurement Range
It is the range of numeric results a method
can produce without any special specimen
pre-treatment, such as dilution.
46. Ø It should be verified, for the manufacturer’s
claim, using the linearity experiment.
Ø It is performed using either calibrators,
proficiency samples, or samples
Ø Serial dilutions will be made covering the
whole analytical measurement range, and
reaching as close as possible to the claimed
values of the manufacturer.
ØEach dilution is to be processed in duplicate
to remove the element of imprecision.
47. Ø The observed measures (on the X-axis) are
plotted against the expected measures (on
the Y-axis), and a line point to point graph is
constructed for each analyte.
ØThe line is judged visually for its linearity
and according to each experiment, the
analytical measurement range of each
method is verified, where any patient result
obtained in the future, outside the verified
range, cannot be released without further
processing (Dilution or concentration).
53. Precision
Closeness of agreement between quantity
values obtained by replicate measurements
of a quantity, under specified conditions.
54.
55. Precision
ØPrecision should be assessed using
quality control material (A minimum of 2
levels), or pooled serum (Of minimum two
concentration levels)
ØEach level of the QC material / pooled
serum is measured 5 times per day (Within
run), for 5 days (in between runs)
56. Precision
ØThe measures obtained from this precision
study are to be collected, and the mean, SD,
and CV are calculated for each parameter,
for the used QC levels / pooled serum.
ØThe obtained CVs, are statistically
compared to the manufacturer’s claim using
ANOVA test of significance, to determine if
there is a significant different between the
obtained CVs (and their verification
intervals), and the manufacturer’s claim at a
certain CI; usually 95%
57.
58. Accuracy
Closeness of the agreement between the
result of a measurement and a true value of
the measurand.
59. Trueness
Closeness of the agreement between the
replicates of result of a measurement, and
a true value of the measurand.
60. ØThe difference between the mean of
replicates of a measurement, and its true
value is the BIAS.
Ø The CLSI calculation of bias is based on
the results of 7 – 11 PT samples; each is
measured in duplicate, and then compared
to the true value (Peer’s mean) using
student T-test.
66. Bias is verified for the tested method when
there is no significant difference between:
q Mean Z-score of PT results (7 – 11) is not
significantly different from Zero
q Mean Z-score of PT results (7 – 11) is not
significantly different from peer’s mean
67.
68. Reference intervals
ØRemember that we are just “Verifying” the
reference intervals stated by the
manufacturer or published in the literature,
and “transferring” them to the lab using the
method under study.
Ø “Establishment” of reference intervals is
another issue.
69.
70.
71. Reference intervals
ØAcceptability of the transfer shall be
assessed by examining 20 reference
individuals, from our subject population, and
comparing the obtained test results to those
of the manufacturer/ Literature.
ØThose 20 individuals should be selected in
such a way that will satisfy the exclusion and
partitioning criteria.
ØThe test results should be examined to
make sure that none of the results appears
to be an outlier.
72. Reference intervals
ØThe manufacturer's / Literature reference
intervals are considered verified if no more
than two of the 20 tested subjects' values (or
10% of the test results) fall outside those
ranges.
73. Reference intervals
ØExclusion / partitioning criteria include:
age, sex, fasting status, disease history,
drug history, previous surgeries, and time of
the cycle / pregnancy for females.
74.
75.
76. Method Comparison
Ø According to CLSI, at least 40 samples
should be assayed on both methods under
examination (two field methods), or between
one tested method and a reference method.
Ø Several statistical approaches can be
used, one of them is to calculate the
correlation coefficient “r”
Ø“r” should be more than or equal 0.95
77.
78. Total Error
It is the summation of both Random and
Systematic error.
It is calculated as follow:
TE = Bias (%) + 2 CV
It is compared to Biological Variation (or any
other specifications) for Total Allowable
Error
79.
80. Uncertainty
Ø It is an interval around a reported
laboratory result that specifies the location of
the true value with a given probability
Ø It takes into consideration both the
imprecision (SD), and the inaccuracy (Bias)
Ø It is calculated from the data of 6 month
minimum
81. What performance characteristics
are usually validated?
ØReportable range (Linearity)
ØPrecision (or imprecision)
ØAccuracy (or inaccuracy, bias)
ØReference interval