Researchers studying the eect of antibiotic treatment for acute sinusitis compared to symptomatic treatments randomly assigned 166 adults diagnosed with acute sinusitis to one of two groups: treatment or control. Study participants received either a 10-day course of amoxicillin (an antibiotic) or a placebo similar in appearance and taste. The placebo consisted of symptomatic treatments such as acetaminophen, nasal decongestants, etc. At the end of the 10-day period patients were asked if they experienced significant improvement in symptoms.

WEEK – 01 ## Multiple Mean Comparision for CB and RB Design ## Question: The manager of a supermarket chain wants to see if the sale price of an item from ## 4 stores are equal. He collected data at the end of each month for 6 months. A = c(65,48,66,75,70,55) B = c(64,44,70,70,68,59) C = c(60,50,65,69,69,57) D = c(62,46,68,72,67,56) ## CR Design ## # H0 : uA = uB = uC = uD # Ha : Not all means are equal c1 = c(A,B,C,D) c2 = c(rep('A', 6), rep('B', 6), rep('C', 6), rep('D', 6)) #rep(p,t) replicates the parameter for 't' times c3 = factor(c(rep(1,6), rep(2,6), rep(3,6), rep(4,6))) # factor() will treat numbers as classes anova(lm(c1~c2)) anova(lm(c1~c3)) # TS : F = 0.0327 # p-value = 0.99 > 0.05 # Hence, we FTR H0 ###############################################