Bayesian Statistics
(1.1)Bayesian Inference
Advantages:
- It follows Bayes theorem in a logical way.
- Likelihood principle is satisfied
- Results can be well interpreted
- It can be used in a wide variety of models like missing data issues, Markov chain
Assignment 2, Inferential Statistics I
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Assignment 3 More on Inferential Statistics
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Assignment 2, Inferential Statistics I
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yourself. If your assign
ANOVA TEST
AnovaModel.1 <- aov(number ~ year, data=Dataset)
> summary(AnovaModel.1)
Df Sum Sq Mean Sq F value Pr(>F)
year
4 266.4 66.6 0.416 0.793
Residuals 10 1599.3 159.9
> numSummary(Dataset$number , groups=Dataset$year, statistics=c("mean", "sd")
mean
Assignment 4
Bayesian Statistics
Bayesian Data Analysis
Problem 1.1
Conditional probability: suppose that if = 1, then y has a normal distribution with mean 1 and
standard deviation , and if = 2, then y has a normal distribution with mean 2 and standard
d
Assignment 3
Bayesian Statistics
Introduction Monte Carlo Methods with R
Problem 1.17
Compare the execution times of the three equivalent R commands
a. y=c();for (t in 1:100) y[t]=exp(t)
b. y=exp(1:100)
c. y=sapply(1:100,exp)
using system.time.
Solution
R
1. Fit the data with the least square regression line with Life span as the dependent
variable. Calculate the residual if the Gestation is 8 and round your answer to the
nearest whole number.
Gestatio
n
Life Span
8
30
2.1
12
1.3
6
1
3
11.5
25
5.3
12
3.8
1