Hi I have a problem on this question. How do I identify whether it's a one way anova or two way anova. And can you please show me the hand calculations methods without using Excel. Like show every step on how to do the question do that I can understand the steps clearly. Also attached the anova critical table. 2. Students were given different drug treatments before revising for their exams. Some were given memory drug, some a placebo drug and some no treatment. The exam scores (%) are shown below for three different groups: Memory drug Placebo No Treatment 70 37 3 77 43 10 83 50 17 90 57 23 97 63 30 Use ANOVA with a = .05 to determine whether there are any significant differences among three treatment means. Perform a scheffe post hoc test if null hypothesis is rejected.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
Hi I have a problem on this question. How do I identify whether it's a one way anova or two way anova. And can you please show me the hand calculations methods without using Excel. Like show every step on how to do the question do that I can understand the steps clearly. Also attached the anova critical table.
2. Students were given different drug treatments before revising for their exams. Some
were given memory drug, some a placebo drug and some no treatment. The exam
scores (%) are shown below for three different groups:
Memory drug Placebo No Treatment
70 37 3
77 43 10
83 50 17
90 57 23
97 63 30
Use ANOVA with a = .05 to determine whether there are any significant
differences among three treatment means. Perform a scheffe post hoc test if null
hypothesis is rejected.
PLEASE REFER TO THE FORMULA I GIVE BELOW
ONE WAY ANOVA Hypothesis Testing
STEP 1: State the hypotheses and select an alpha level.
H0: µ1 = µ2 = µ3 (There is no treatment effect.)
H1: At least one of the treatment means is different.
We use α = .05
STEP 2: Locate the critical region.
df total = N - 1 =
df between = k - 1 = (Numerator)
df within = N – k = (Denominator)
look up in the f table: df = Numerator, Denominator, Critical region = (larger than
STEP 3: Compute the F-ratio.
SS total = ΣX^2-G^2/N =
SS within = ΣSS inside each treatment =
SS between = SS total – SS within =
Calculation of mean squares
MS between=(SS between)/(ⅆf between)
MS within=(SS within)/(ⅆf within)
Calculation of F.
F=(MS between)/(MS within)
=
STEP 4 : MAKE A DECISION
If F > F critical. Reject HO
STEP 5 EFFECT SIZE
η^2= (SS between)/(SS total)
STEP 6: IF THE RESULT IS SIGNIFICANT
Do post hoc using Scheffe Test
Step 1 find mean if not given T/How many entries in one group
Step 2 compare the groups with smallest difference ( A – B, A – C, B - C )
Step 3 Find SS between ∑T^2/n-G^2/N
Step 4 df between same as the study k – 1
Step 5 MS between = SS between / df between
Step 6 F ratio = MS between / MS within ( same as study )
If F ratio > F critical, REJECT HO AND SIGNIFICANT
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