Cology Practical
Cology Practical
PHARMACOLOGY-||
B.PHARM
PRACTICAL NOTEBOOK
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Index
Experiments Page no.
1. Dose calculation in pharmacological experiments 1-6
|2. Antiallergic activity by mast cell stabilization assay 7-8
|3. Study of anti-ulcer activity of a drug using pylorus ligand (SHAY) rat mnodel and 9-10
NSAIDS induced ulcer model.
4. |Study of effect of drugs on gastrointestinal motility 11-12
5
Effect of agonist and antagonists on guinea pig ileum 13-14
6 Estimation of serum biochemical parameters by using semi- autoanal yser 15-21
|7. Effect of saline purgative on frog intestine 22-23
Insulin hypoglycemic effect in rabbit 24-25
9. Test for pyrogens (rabbit nmethod) 26
10.|Determination of acute oral toxicity (LD50) of a drug from a given data 27-28
11Determination of acute skin irritation / corrosion of a test substance 29
12. Determination of acute eye irritation / corrosion of a test substance 30
13 Calculation of pharmacokinetic parameters from a given data 31-32
14. Biostatistics methods in experimental pharmacology( student's t test, ANOVA) 33
15. Biostatistics methods in experimental pharmacology (Chi square test, Wilcoxon 34-35
|Signed Rank test)
EXPERIMENT 1
A vehicle is any substance that acts as a medium in which a drug is administered. Vehicle,
which is an essential consideration in all animal research should be biologically inert, have
no toxic effects on the animals and not also influence the results obtained for the compound
under investigation.
Example of suitable vehicles for animal research include; water, normal saline (0.9%
sodium chloride), 50% polyethylene glycol, 5 to 10% Tween 80, 0.25% methylcellulose or
carboxymethylcellulose.
Based on 10 ml/kg volume selection, required dose volume for a 100 g rat can be calculated
as follows:
3. Dosage calculation and preparation of stock solution of crude plant extract for
experimental animals: With reference to table 1 above, stock solutions and doses of a plant
extract (With selected doses, 200 mg/kg and 400 mg/kg) for a rat weighing 120 g be
calculated as follows;
1 ml of dissolved plant extract from a given stock solution (960 mg/48 ml = 20 mg/ml) is
the required dose (from selected dose of 200 mg/kg) for a rat weighing 100 g. However,
1.2 ml from the same stock solution is the required volume for a rat weighing 120 g (which
is meant to receive 24 mg of the plant extract). Having successfully prepared a stock
solution (960 mg/48 ml = 20 mg/ml) for a selected dose of 200 mg/kg, stock solution of the
same plant extract with a higher selected dose (400 mg/kg) can be easily be prepared by
dissolving 960 mg of plant extract with half the volume (24 ml) used in the previous stock
(960 mg/48 ml), thereby yielding a higher concentration (960 mg/24 ml = 40 mg/ml) which
is twice the concentration of the formal stock’ as shown in table 2 below. In this case
animals with similar body weight from two different selected dose categories (200 mg/kg
and 400 mg/kg respectively) will receive the same volume, but different concentrations.
PRINCIPLE: In allergic diseases mast cells plays an important role by defending the
antigens. IgE antibodies formed in response to antigen antibody complex attaches to the
surface receptors of mast cells and rises calcium influx leading to degranulation of mast
cells which releases some pro-inflammatory mediators such as histamine and eicosanoids.
REQUIREMENTS:
Animals: Guinea pigs of 400-600 g of either sex, Albino rats of 175-200 g of either sex
Albino rats of either sex are divided into two groups consisting of 3 animals in each. Group-
1 receives normal saline, and Group-2 receives Disodium chromoglycate (50 mg/kg. i.p.)
for 3 days. Inject 10 ml/kg of 0.9% saline into peritoneal cavity on 4th day to each animal.
Massage the peritoneal region of the animal gently for 5 min, then collect the peritoneal
fluid and transfer to the test tube which is carrying 7-10 ml of RPMI buffer. Centrifuge the
fluid for 400-500 RPM. Discard the supernatant and wash the pellets of mast cells twice
with same buffer by centrifugation. Add egg albumin to the above cell suspension and
incubate at 37oC for 10 min. Later the suspension has to stain with 1% toluidine blue
solution and observe the slide under microscope for calculating number of granulated and
degranulated mast cells in each group (total 100 cells are having to be counted from
different visual areas).
CONCLUSION
Pre-treatment of animals with standard drugs stabilizes mast cell membrane and generates
nitric oxide as defensive mechanism that inhibits the release of chemokines, which are
responsible for vasoconstriction.
EXPERIMENT -3
AIM:
To study the anti-ulcer activity of a drug using pyloric ligand (SHAY) rat model.
PRINCIPLE:
Peptic ulcer is one of the most prevalent gastrointestinal disorders. The aim of the present
study is to demonstrate the antiulcer activity of drugs using pylorus ligand (SHAY) rat
model. This was first demonstrated by Shay in 1945. Ligation of rat pylorus results gastric
acid accumulation in the fore-stomach leads to acute gastric ulcers. This procedure is used
to screen the drugs for their anti-secretary and antiulcer activity.
REQUIREMENTS
Animals : Albino Wistar rats of 150-200 g are selected for the study.
Drugs : Ether (anesthetic), Ranitidine 20 mg/kg, p.o, 0.9% normal saline
Reagents : 0.1 N NaOH, Phenolphthalein, Topfer’s reagent,
Instruments : Dissecting microscope, Burette, PH meter, Surgical instruments.
PROCEDURE
Animals are to be divided into two groups consisting of 3 animals in each group. Saline is
to be administered to control group and Ranitidine (20 mg/kg, P.O.) to other group. Animals
have to be fasted for one day with free access to water. 30 min prior to ligation process, the
drug (Ranitidine) should be given. Under light ether anesthesia a midline abdominal
incision is made and pylorus will be ligated with proper care and the wound is closed. Then
rats are to be placed individually in separate cages without food and water during this period
and allowed them to recover. Sacrifice the animals by decapitation after 4 hours and open
the stomach and collect the stomach contents in a centrifuge tube. Determine the PHPH
meter. Open the greater curvature of the stomach and clean the part with saline. Under 10X
magnification lens ulcers are to be observed and ulcer index is calculated by using the
formula given below.
CONCLUSION
Comparison of ulcer index between study groups estimates the potency of antiulcer activity
of test drug. Decrease in volume of gastric contents, free and total acidity determines anti-
secretory activity of test drug and rise in PH evaluates acid neutralizing action of test drug
Experiment - 4
EFFECT OF DRUGS ON GASTRO INTESTINAL MOTILITY
Guinea pig ileum is advantageous for assay purposes as it produces steady baseline for
studying effects of drugs. Rabbit intestine (ileum, deuodenum, jejunum) usually jejunum is
used for the effects of pendular movements. In the present study rabbit ileum is selected for
estimating the effects of selected drugs on intestinal motility.
REQUIREMENTS:
Animals: Medium sized rabbit
Drugs: Adrenaline/Acetylcholine- 10 ug/ml,
Atropine sulphate- 100 ug/ml,
isoproterenol/isoprenaline 10 ug/ml,
Propranolol- 1 mg/ml, Phenylephrine- 10 ug/ml,
phentolamine- 0.1 ug/ml.
PROCEDURE
The procedure adopted for the study is the modified Finkleman method developed by
Walker and Scott. Select a medium sized rabbit for the study. Fast the animal for 24 hours
prior to experiment as food in gut results in messy dissection and flushing of gut contents
may damage the intestine. Before sacrificing the rabbit, prepare Tyrodes Ringer solution
and place about 250 ml of this solution in an ice cold flask. Sacrifice the animal by cervical
decapitation without use of anesthetic as it may affect the gut motility. Shave the abdomen
of the animal and vacuum the surface to remove adhered fur. Make a midline incision
through the skin and abdominal muscles. Locate ileum and a part of ileum was taken 10 cm
away from ileocaecal valve. An optimal length of tissue (5-6 cms) is cut carefully and tie
the thread to antimesenteric border on both sides and place them in the Tyrode solution.
Record the rhythmic activity of the ileum by using frontal writing lever and kymograph.
Suspend the tissue in organ bath of Tyrode solution (100 ml) at 370c with adequate oxygen
supply (mixture of 95% O2 and 5% of CO2). Tie one end of the thread of the tissue to fixed
point inside the organ bath and the other end to the lever for recording contractions on the
kymograph. Stabilise the tissue in the solution to the conditions for about 30 minutes.
Ensure the lever should be placed horizontally and record the normal contractions followed
by effects of drugs on muscles.
After recording normal contractions inject the drugs one by one and observe for force of
contraction and tone, frequency of contractions before and after drug administration. Inject
0.1 ml of drugs in the succession order in the organ bath and the responses are recorded.
After noting the effect of every drug, drain the muscle bath and refill with fresh warm
Tyrode solution (100 ml). Take the control reading before and after each drug response.
Maintain wash out period for 15-20 minutes for change of every drug and check the next
drug response only the when the tone and amplitude returned to original value
approximately. The drug and dose name should be mentioned in the recording after taking
response of each drug.
Order of adding drugs.
1. 0.1 ml of Ach, 1.0 ml of Ach, 0.1 ml of NE, 1.0 ml of NE (Ach increases contraction
and NE relaxes the tissue)
2. 1.0 ml of phenylephrine, 1.0 ml of isoproterenol (phenylephrine causes contraction by
inhibiting adenylate cyclase- alpha adrenergic agonists; isoproterenol causes relaxation by
showing beta agonist action)
3. 1.0 ml of phenatolamine (alpha adrenergic blocker). Wait for 2 minutes then proceed
for adding 1.0 ml of phenylephrine.
5. 1.0 ml of propranolol (beta adrenergic blocker). Wait for 2 minutes then proceed for
adding 1.0 ml of isoproterenol
6. 1.0 ml of atropine- wait for 3 minutes- add 1.0 ml of Ach- (to check for
parasympatholytic activity of atropine)
CONCLUSION
The effect of drugs on intestinal motility can be easily interpreted by the responses taken
on kymograph.
EXPERIMENT 5
Effect of Certain Agonists and Antagonists on Isolated Guinea-pig Ileum
Guinea pig ileum is a smooth muscle receive dual nerve supply from autonomic nervous
system of both sympathetic and parasympathetic. Parasympathetic tone is dominant in
ileum which Ach cause contraction by stimulating M3-R
Why Guinea pig ileum is used?
➢ Cholinergic receptors.
➢ Serotonergic or tryptaminergic receptors (5-HT1→5-HT7).
➢ Histaminergic receptors.
➢ Adrenergic receptors.
Types of receptors in guinea-pig ileum:
1- Cholinergic receptors:
▪ Serotonin = 5-HT(5-hydroxytryptamine).
▪ 5-HT2A receptor found in smooth muscle and bronchi .
4- Adrenergic receptors:
α2 Adrenaline -
Conclusion:
EXPERIMENT 6
TYPES OF BILIRUBIN
Direct bilirubin (conjugated bilirubin-BC) -In the liver, bilirubin is conjugated with
glucuronic acid by the enzyme glucuronyl transferase, making it soluble in water. Much of
it goes into the bile and thus out into the small intestine. However, 95% of the secreted
bilirubin is reabsorbed by the intestines (Terminal Ileum) and reaches the liver by portal
circulation and then resecreted by the liver into the small intestine. This process is known
as enterohepatic circulation. The remaining 5%-> large intestine->urobilinogen->
stercobilin-> feces.
Total and direct bilirubin levels can be measured from the blood, but indirect bilirubin is
calculated from the total and direct bilirubin.
NORMAL LEVELS
MEASUREMENT METHODS Originally the Van den Bergh reaction was used for a
qualitative estimate of bilirubin. Total bilirubin is now often measured by the 2,5-
dichlorophenyldiazonium (DPD) method.
URINE TESTS Urine bilirubin may also be clinically significant. Bilirubin is not normally
detectable in the urine of healthy people. If the blood level of conjugated bilirubin becomes
elevated, e.g. due to liver disease, excess conjugated bilirubin is excreted in the urine,
indicating a pathological process.
Unconjugated bilirubin is not water-soluble and so is not excreted in the urine. Testing urine
for both bilirubin and urobilinogen can help differentiate obstructive liver disease from
other causes of jaundice.
INCREASES Total bilirubin is elevated in obstructive condition of the bile duct, hepatitis,
cirrhosis, in hemolytic disorders and several inherited enzyme deficiency.
HYPERBILIRUBINEMIA
• Gilbert's syndrome – a genetic disorder of bilirubin metabolism that can result in mild
jaundice, found in about 5% of the population
• Rotor syndrome- non-itching jaundice, with rise of bilirubin in the patient's serum,
mainly of the conjugated type.
• Neonatal hyperbilirubinaemia- where the newborn's liver is not able to properly process
the bilirubin causing jaundice unusually large bile duct obstruction, e.g. stone in common
bile duct, tumour obstructing common bile duct etc.
Conclusion:
GLUCOSE
FUNCTION
• ANALYTE IN MEDICAL BLOOD TEST Glucose is a common medical analyte
measured in blood samples. Eating or fasting prior to taking a blood sample has an effect
on the result. A high fasting glucose blood sugar level may be a sign of prediabetes or
diabetes mellitus.
NORMAL VALUES Fasting Value Post Prandial Category of a person Minimum Value
Maximum Value 2 hours after consuming glucose Normal 70 100 Less than 140 Early
Diabetes 101 126 140 to 200 Established Diabetes More than 126 - More than 200.
PRINCIPLE Glucose oxidase (GOD) converts glucose to gluconic acid. Hydrogen peroxide
formed in this reaction, in presence of peroxidase (POD) oxidatively couples with
4aminoantipyrine and phenol to produce red quinoneimine dye. This dye has absorbance
maximum at 505 nm (500- 550 nm). The intensity of the colour complex is directly
proportional to the concentration of glucose in sample. Principle: (Trinder’s method ) -D-
glucose Mutarotase -D-glucose +H2O+O2 -D-glucose Glucose oxidase H2O2+ 4-
aminophenazone+phenol The intensity of the color concentration in the sample. formed D-
gluconic acid+H2O2 Peroxidase is Quinonemine +4 H2O proportional to the glucose
DEMO ESTIMATION - by ERBA kit ASSAY PROCEDURE Pipette into tubes marked
Working reagent Distilled water Standard Test Blank 1000ul 10ul --- Standard 1000ul -
10ul -- Test 1000ul --10ul
SGOT
INCREASES: Increased levels are associated with liver diseases or damage, myocardial
infraction, muscular dystrophy.
DECREASES: Decreased levels are observed in patients undergoing renal dialysis and
those with B6 deficiency. Monitoring the change in the levels over a period of time is
beneficial to the physician evaluating myocardial infraction or following chronic or
resolving hepatitis. FUNCTIONS Aspartate transaminase catalyses the interconversion of
aspartate and α-ketoglutarate to oxaloacetate and glutamate. Reaction catalysed by
aspartate aminotransferase. Aspartate(Asp) + α-ketoglutarate ↔ oxaloacetate + glutamate
SGPT
INCREASES
Increases levels are generally a result of primary liver diseases such as cirrhosis
,carcinoma,viral or toxic hepatitis and obstructive jaundice.
DECREASES
Decreased levels may be observed in renal dialysis patients and those with vitamin B6
deficiency.
Conclusion:
EXPERIMENT - 7
PRINCIPLE: Saline purgatives are the salts comprising of highly charged ions and do not
crosses cell membrane freely. They remain inside the lumen and retain water through
osmotic forces. They increase the volume of the contents of the bowel, stretch the colon
and produces normal stimulus for contraction of the muscle that leads to defecation. The
aim of the present study is to examine the effect of saline purgative on frog intestine.
REQUIREMENTS
Animal : Frog
Reagents : 0.9% to 0.45% of saline (hypotonic),
27% Magnesium sulphate (hypertonic),
Frogs Ringer solution (isotonic)
Instruments used: Frog’s board, pithing needle, dissecting instruments, needle with
thread, tuberculin syringe with needle.
PROCEDURE: Pith the frog and place it on a dissecting board. Expose the abdominal
cavity and carefully trace the small intestine. Make the small intestine into three
compartments by tying threads of different colours in such a way that no fluid can move
from one compartment to the other. Inject 0.2 ml of each hypotonic solution into first
compartment, 0.2 ml of hypertonic solution to second compartment and 0.2 ml of isotonic
solution into third compartment. Wait for 20 minutes and the observations are to be
recorded.
Fig: Representation of Saline purgatives
CONCLUSION:
Hypotonic solution causes the fluid to move from lumen into circulation by process osmosis
thereby shrinks the tissue. Hypertonic solution moves the fluid from cells into the lumen
and swells the tissue and isotonic solution did not shows any fluid movement across the
intestinal membrane.
EXPERIMENT-8
REQUIREMENTS
Animals : Healthy rabbits weighing 1800-3000 gms.
Drugs : 20 units of insulin preparation. One unit contains 0.04082 mg of insulin
Reagents : Normal saline, HCl, 0.5% phenol, 1.4-1.8% glycerin.
PROCEDURE
Select healthy rabbits weighing 1800-3000 gms for the study. They should be maintained
in uniform diet for 7 days. Fast the animals for 18 hrs with no access to water before starting
the procedure. Select three animals for the study and inject 1 unit/ml of insulin. Prepare
drug solution freshly. Weigh 20 units of insulin accurately and dissolve it in normal saline.
Acidify the solution by using HCl to pH 2.5. Add 0.5% of phenol as preservative and 1.4-
1.8% of glycerin and make the final volume to 20 units/ml of solution. Withdraw 2 ml of
blood from marginal ear vein of each rabbit and estimate blood glucose level by using
suitable biochemical method and the concentration of glucose can be noted down as initial
blood glucose level. Then inject insulin (1 unit/ml) to the animals and check the blood sugar
level up to 5 hours at the interval of 1 hour each and the determine blood glucose levels as
final blood sugar level and compared both initial and final blood glucose levels.
CONCLUSION
Mean percentage decrease of blood glucose levels at different time intervals determines
the effect of insulin.
EXPERIMENT 9
Test for pyrogens (rabbit method)
Aim: Learn how to determine the pyrogen in parenteral preparations by injecting the sample
in rabbits for pyrogen testing.
Introduction: Pyrogen test is performed to check the presence or absence of pyrogens in all
aqueous parenterals. Rabbits are used to perform the test because their body temperature
increases when pyrogen is introduced by the parenteral route.
For this test, three healthy rabbits are selected each weighing at least 1.5 kg. No rabbit
should be selected if:
2. It was used in a positive test during last two weeks or negative test during last two days.
Method for Pyrogen Test: The pyrogen testing is performed in an air-conditioned room.
The food and water is withheld to rabbit overnight. A clinical thermometer is inserted in
the rectum of each rabbit to a depth of not less than 7.5 cm. Two readings of the temperature
of rabbit in normal conditions should be taken at the interval of half an hour before start the
test and mean of the both should be calculated to determine the initial temperature. The
equipment, injectors and needles used in the test should be pyrogen-free. These should be
washed with water for injection and then heated at 260°C for two hours. The injection is
warmed to 38°C before injecting to the rabbits. 0.5 to 1.0 ml per kg dose should be injected
through the ear vein. Six reading of temperature is recorded at an interval of half an hour.
Pyrogen Test Results: The response of each rabbit is detected by the difference of initial
temperature and the highest temperature recorded. The response of all three rabbits gives
the sum of responses and can be concluded as:
i) If the sum of responses does not greater than 1.4°C and any of rabbit shows the
response less than 0.6° C, the product passes the test.
ii) I sum of responses is greater than 1.4 °C or any of rabbit shows the response 0.6
or greater, continue the test using 5 rabbits.
iii) If the test is done using 5 rabbits, then if the sum of responses of all 5 rabbits is
greater than 3.7°C and the individual response of not more than three rabbits is
greater than 0.6°C, the product passes the test.
Conclusions:
EXPERIMENT 10
LD50 :
Substance Animal, Route LD50
g/kg
Conclusion:
EXPERIMENT 11
Skin irritation and skin corrosion refer to localized toxic effects resulting from a topical
exposure of the skin to a substance.
Structure of Skin: The skin is the largest human organ, but is more than just a protective
covering for the body. The skin is composed of multiple layers and serves many functions
important to survival. The outermost layer of the skin is called the epidermis. The epidermis
is made up of approximately four layers of epithelial cells called keratinocytes. The
epidermal keratinocytes and junctions between these cells form the barrier of the skin,
preventing substances from penetrating the skin, and water and electrolytes from leaking
out of the body. The deeper layer of the skin is called the dermis. The high content of
collagen and elastin in the dermis impart strength and elasticity to the skin. Blood vessels,
nerves, sweat glands, and hair roots are also found within the dermis. The innermost layer
of the skin, called the subcutaneous layer, is relatively thick and primarily composed of fat
cells. It is a source of insulation and physical protection for the body as well as a source of
energy for the cells.
Method of testing
A test substance is applied to the shaved bare skin about 6 cm2 of healthy young adult
albino rabbits and the area is covered with gauze (OECD Test Guideline (TG) 404; Acute
Dermal Irritation/Corrosion). The substance is removed after four hours and the rabbit’s
skin is observed at specific times for irritant responses for as many as 14 days. One animal
is usually tested first. The GHS reports that animal skin irritation and corrosion responses
are quite variable, so the document explains a range of responses for classification purposes.
Conclusion:
EXPERIMENT 12
OBJECTIVES
1. Instill drugs carefully into the rabbit's eye by the pouch method without injuring the
cornea.
2. Study the effects of drugs on the rabbit's eye.
3. Record, analyze and interpret the observations obtained during the experiment .
Animals: Rabbits
1. Saline
2. Eserine salicylate 0.5%
3. Atropine sulphate 1.0%
4. Lignocaine 1.0%
PROCEDURE
Place the rabbit (No.1) on the table. Measure the diameter of both the pupils with the
help of a scale. Observe the condition of the conjunctiva (congested or not) and elicit the
corneal and light reflexes. Record your findings. In the left eye put one drop of saline
and in the right eye one drop of eserine. Use the pouch method for instilling the drops.
After adding the drops, the medial canthus should be pressed for 30 seconds. Record the
following parameters at one minute, 5minutes and ten minutes after instilling the drug and
saline. Parameters to be measured:
1. Diameter of the pupil
2. Light reflex
3. Corneal reflex
Record your observations in a tabular form. Repeat the same procedure for atropine, and
lignocaine on separate rabbits (Nos 2, & 3 ) .
Repeat the experiment in your free time using ExPharm v2 for Windows - A Computer
Assisted Learning (CAL) software programme with simulated experiments.
Conclusion:
EXPERIMENT 13
Calculation of pharmacokinetic parameters from a given data
I. Data Presentation:
An introductory class will be taken on data presentation (30 min) and students will be divided into
4 groups. Each group will be given simulated results (data) of an experiment and asked to devise a
table to display the data (30 min). Plenary will be held where each group will present their table.
Task A : Read the following situations and present the data in a tabular form :
1. In an experiment, 2 groups of 6 rats were injected with amphetamine and saline respectively and
food intake was measured for 2 hrs. The initial weight of rat food was 10 g for each rat. At the end
of 2 hrs, the remaining food was weighed and the following data were obtained:
2. The effects of atropine (1.0 % solution) on the pupil size was studied in 8 rabbits. The pupil size
was measured before and after administration of saline in one eye and atropine in the other. The
data obtained were as follows.
after 6, 5, 4, 4, 6, 6, 6, 6 mm after 7, 8, 9, 6, 8, 9, 6, 8 mm
3. The cardiostimulant activity of a plant extract (2 μg) was compared with that of epinephrine (2
μg) Twelve isolated frog heart preparations were used and heart rate was observed after
administration:
Preparation no. 1- 6: Plant extract - 91, 89, 83, 59, 81, 87 bpm
Saline (n=6) : 22, 25, 29, 30, 21, 32 writhings (in 15 min)
Aspirin (n=7) : 15, 18, 18, 20, 22, 17, 16 writhings (in 15 min)
Conclusion:
EXPERIMENT 14
Introduction to Biostatistics:
Introduction to Biostatistics It is the branch of statistics that deals with data relating to living
organisms. A Biostatistician would be involved with carrying out research, devising
experiments, and providing an in depth analysis of all results. This is a great opportunity to
make a difference because by carrying out this crucial research, a Biostatistician can make a
difference to health care and public health.
In experimental pharmacology we have to understand when to use and how to calculate and
interpret different measures of central tendency (mean, median and mode) and dispersion
(range, IR and standard deviation) We have to identify the types of error encountered in
statistical analysis, the role of sample size and implications for decision making. Describe basic
assumptions required for utilization of common statistical tests including the student’s t-test,
Paired t-test, chi square analysis, wilcoxon signed rank etc.
X and Y are the two populations. The bar above it means sample mean.
The n 1 and n 2 are the sample sizes. Sp = pooled standard deviation
Analysis of Variance (ANOVA) Is a technique whereby the total variation present in a data
set is partitioned or segregated into several components.
For example, if four drug levels with their six possible combinations are to be compared, and
each comparison is made by using Alpha = .05,
-there is a 5% chance that each comparison will falsely be called significant.
So the recommended use of ANOVA protects the researcher against error inflation by first
asking if there are differences at all among means of the groups. Some basic concepts in
experimental designs are the minimum requirements to appreciate the approach of ANOVA in
estimating and testing the hypotheses about - population means or about - population variances.
It may be pointed out that when experiments are designed with the analysis in mind,researchers
can, before conducting experiments, identify those sources of variation that they consider
important and choose a design that will allow them to measure the extent of the contribution
of these sources to total variation.
Conclusion:
EXPERIMENT 15
Chi-square test
The Chi-square test is a non-parametric test of proportions. This test is not based
on any assumption or distribution of any variable. This test, though different,
follows a specific distribution known as Chi-square distribution, which is very
useful in research. It is most commonly used when data are in frequencies such as
number of responses in two or more categories. This test involves the calculations
of a quantity called Chi-square (x 2 ) from Greek letter ′Chi′(x) and pronounced as
′Kye.′ It was developed by Karl Pearson.
Applications
1. Test of proportion: This test is used to find the significance of difference in two or more
than two proportions.
2. Test of association: The test of association between two events in binomial or
multinomial samples is the most important application of the test in statistical methods.
It measures the probabilities of association between two discrete attributes. Two events
can often be studied for their association such as smoking and cancer, treatment and
outcome of disease, level of cholesterol and coronary heart disease. In these cases, there
are two possibilities, either they influence or affect each other or they do not. In other
words, you can say that they are dependent or independent of each other. Thus, the test
measures the probability (P) or relative frequency of association due to chance and also
if two events are associated or dependent on each other. Varieties used are generally
dichotomous e.g. improved / not improved. If data are not in that format, investigator
can transform data into dichotomous data by specifying above and below limit.
Multinomial sample is also useful to find out association between two discrete
attributes. For example, to test the association between numbers of cigarettes equal to
10, 11- 20, 21-30, and more than 30 smoked per day and the incidence of lung cancer.
Since, the table presents joint occurrence of two sets of events, the treatment and
outcome of disease, it is called contingency table (Con- together, tangle- to touch).
When there are only two samples, each divided into two classes, it is called as four cell or 2 ×
2 contingency table. In contingency table, we need to enter the actual number of subjects in
each category. We cannot enter fractions or percentage or mean. Most contingency tables have
two rows (two groups) and two columns (two possible outcomes). The top row usually
represents exposure to a risk factor or treatment, and bottom row is mainly for control. The
outcome is entered as column on the right side with the positive outcome as the first column
and the negative outcome as the second column. A particular subject or patient can be only in
one column but not in both. The following table explains it in more detail:
Even if sample size is small (< 30), this test is used by using Yates correction, but frequency
in each cell should not be less than 5. Though, Chi-square test tells an association between two
events or characters, it does not measure the strength of association. This is the limitation of
this test. It only indicates the probability (P) of occurrence of association by chance. Yate′s
correction is not applicable to tables larger than 2 X 2. When total number of items in 2 X 2
table is less than 40 or number in any cell is less than 5, Fischer′s test is more reliable than the
Chi-square test.
This is a non-parametric test. This test is used when data are not normally distributed in a paired
design. It is also called Wilcoxon-Matched Pair test. It analyses only the difference between
the paired measurements for each subject. If P value is small, we can reject the idea that the
difference is coincidence and conclude that the populations have different medians.
Conclusion: