Publications by Ganesh Kumar
Dis_3
I. Fundamental Distributions : I choose Uniform Distribution, Bernoulli Distribution and Exponential Distribution. Uniform Distribution : The uniform distribution is a symmetric probability distribution where all outcomes have an equal likelihood of occurring. All values in the distribution have a constant probability, making them uniformly d...
5138 sym Python (3389 sym/31 pcs) 4 img
Dis_2
I. Bayes Theorem : In probability & Statistics, Bayes theorem describes the probability of event, based on prior knowledge of conditions related to event.In simple terms, Bayes’ Theorem helps us adjust the probabilities when we receive new data. It provides a systematic way to reason and update our situation. Formula : P(A|B) = P(B/A)P(A) / P...
1465 sym R (4856 sym/37 pcs) 1 img
Dis_1
0.1 Problem 1.9 Fisher’s irises(part 1) How many cases were included in the data? remove(list = ls()) iris ## Sepal.Length Sepal.Width Petal.Length Petal.Width Species ## 1 5.1 3.5 1.4 0.2 setosa ## 2 4.9 3.0 1.4 0.2 setosa ## 3 4.7 3.2...
1115 sym R (18222 sym/33 pcs) 10 img
Week_13
rm(list = ls()) # Clear all files from your environment gc() ## used (Mb) gc trigger (Mb) max used (Mb) ## Ncells 521208 27.9 1158972 61.9 660385 35.3 ## Vcells 947232 7.3 8388608 64.0 1769625 13.6 cat("\f") Simple linear (bivariate) regression Pick any two quantitative variables from a data set that interest...
1117 sym R (4167 sym/20 pcs)
Week_12
# Clear the workspace rm(list = ls()) # Clear environment gc() # Clear unused memory ## used (Mb) gc trigger (Mb) max used (Mb) ## Ncells 521432 27.9 1159612 62 660385 35.3 ## Vcells 947692 7.3 8388608 64 1769625 13.6 cat("\f") # Clear the console What is correlation ? Correlation is a statistical...
686 sym R (2575 sym/21 pcs) 3 img
Week_11
# Clear the workspace rm(list = ls()) # Clear environment gc() # Clear unused memory ## used (Mb) gc trigger (Mb) max used (Mb) ## Ncells 521472 27.9 1159727 62 660385 35.3 ## Vcells 947744 7.3 8388608 64 1769625 13.6 cat("\f") # Clear the console 1) Install & Setup # Install package # install.pac...
87 sym R (3974 sym/26 pcs) 2 img
HW_5
Inference # Clear the workspace rm(list = ls()) # Clear environment gc() # Clear unused memory ## used (Mb) gc trigger (Mb) max used (Mb) ## Ncells 522780 28.0 1163464 62.2 660385 35.3 ## Vcells 953436 7.3 8388608 64.0 1769625 13.6 cat("\f") # Clear the console Function reject or not myp=function(p, al...
5265 sym Python (11057 sym/106 pcs) 4 img
Week_10
rm(list = ls()) # Clear all files from your environment gc() # Clear unused memory ## used (Mb) gc trigger (Mb) max used (Mb) ## Ncells 521103 27.9 1158672 61.9 660385 35.3 ## Vcells 947054 7.3 8388608 64.0 1769625 13.6 cat("\f") graphics.off() Part 1 The (student) t distribution converges to normal dist...
485 sym R (2221 sym/7 pcs) 3 img
Document
Law of Large Numbers in your own words : The Law of Large Number states that when sample size tends to infinity, the sample mean equals to population mean. Please explain CLT in your own words : The central limit theorem basically states two important things: Mean of the sample = Mean of the population Standard deviation of the sample = Standard...
2140 sym R (3383 sym/32 pcs) 7 img
Document
I. SAMPLING METHODOLOGIES a. Probability sampling refers to the selection of a sample from a population, when this selection is based on the principle of randomization, that is, random selection or chance. Probability sampling is more complex, more time-consuming and usually more costly than non-probability sampling. b. However, Non-probabili...
3737 sym R (1954 sym/13 pcs) 1 img