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ANOVA
It is analysis of variance, a statistical method in which
the variation in a set of observations is divided into
distinct components.
It is a statically model to compare the mean of two and
more than two groups.
There are two terms here we are using in ANOVA
1.Factor ( Variable )
2.Levels ( number of groups)
Types of ANOVA:
Manly there are two types of ANOVA
1.One way ANOVA : Having one factor with at least
two levels and levels are independent
Eg. There are three sample
0mg, 50mg and 100mg. These three samples are
independent from each other
2. Repeated-Measured : Having one factor with at
least two levels and levels are dependent
Eg. Doing experiment on same data at different
time like day 1 , day 2, and day 3…
For doing any testing operation we
need to defined the hypothesis
Effect in ANOVA
There are seven terms use to test the
ANOVA
1. Define Null and Alternate Hypothesis:
Ho = µ0 mg = µ50 mg. = µ100 mg.
H1 = Not all average are equal.
2. Define alpha
α = 0.05
3.Degree of freedom:
here there are three degree of freedom
4. Decision rule
• Here we can find the value of F from the F table
We make pair of (df of between , df of within)and
then match these value from table, in table
The df of between value will take from vertically
and df of within will take from horizontally. here df of
between is 2 and df of within is 18, so my pair is (2,18)
and we will see in table in second column and 18th
rows. And that value is 3.5546.
If F(calculated ) is greater than the F(tabulated) value then
Null Hypothesis will rejected otherwise accepted.
Here there are four terms we have to find ss(sum of
square),df( degree of freedom) ,MS(mean
square),and F
Here given alpha is = 0.05
ANOVA.pptx
ANOVA.pptx
ANOVA.pptx
ANOVA.pptx
ANOVA.pptx
ANOVA.pptx
ANOVA.pptx

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ANOVA.pptx

  • 1. ANOVA It is analysis of variance, a statistical method in which the variation in a set of observations is divided into distinct components. It is a statically model to compare the mean of two and more than two groups.
  • 2. There are two terms here we are using in ANOVA 1.Factor ( Variable ) 2.Levels ( number of groups)
  • 3. Types of ANOVA: Manly there are two types of ANOVA 1.One way ANOVA : Having one factor with at least two levels and levels are independent Eg. There are three sample 0mg, 50mg and 100mg. These three samples are independent from each other 2. Repeated-Measured : Having one factor with at least two levels and levels are dependent Eg. Doing experiment on same data at different time like day 1 , day 2, and day 3…
  • 4.
  • 5. For doing any testing operation we need to defined the hypothesis
  • 7.
  • 8. There are seven terms use to test the ANOVA
  • 9. 1. Define Null and Alternate Hypothesis: Ho = µ0 mg = µ50 mg. = µ100 mg. H1 = Not all average are equal. 2. Define alpha α = 0.05
  • 10. 3.Degree of freedom: here there are three degree of freedom
  • 11. 4. Decision rule • Here we can find the value of F from the F table We make pair of (df of between , df of within)and then match these value from table, in table The df of between value will take from vertically and df of within will take from horizontally. here df of between is 2 and df of within is 18, so my pair is (2,18) and we will see in table in second column and 18th rows. And that value is 3.5546. If F(calculated ) is greater than the F(tabulated) value then Null Hypothesis will rejected otherwise accepted.
  • 12.
  • 13.
  • 14. Here there are four terms we have to find ss(sum of square),df( degree of freedom) ,MS(mean square),and F
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20. Here given alpha is = 0.05