Are they the seeds to be nurtured to bring in automation, innovation and transformation. There is a saying, necessity is the mother of invention. I would say, innovation is amalgamation of creativity and necessity. We need to understand the ecosystem, to apply creativity and identify the ideas to bring in change. We need to be competent with changing ecosystem and think beyond the possible. What is the biggest challenge in doing this? "Unlearning and Learning", we think the current ecosystem is the best. Be it health, finserve, agriculture or mechanical domain, we need to emphasize with the stakeholders, to come up with the strategy to drive. The very evident example here is the quality of life is changing every millisecond. Few decades back the phone connection was limited to few, but today all the millennials are having a mobile phone. Now phone is not just a medium to talk, but are so powerful devices that an innovative solution can be developed on it.
Hello Data Experts,
Let me continue from my last blog http://outstandingoutlier.blogspot.in/2017/08/dataset-using-r.html “Dataset using R” where we discussed how to
load Dataset from CSV and work on basic operations over that dataset.
Given R is the statistical language, it is
important for us to unleash the power of R for statistical analysis. This blog
will help you learn statistical calculations such as Mean, Median, Mode,
Variance, SD and few other formulas. Let us move forward and understand how to get
these values.
Before we delve into statistical programming,
let us understand why do we need to calculate all three mean, Median and Mode
and not just anyone. Mean represent average value which can get influenced by
outlier (higher or lower) value. Median reflects middle most value with less
probability of getting influenced by outlier. Mode is the maximum repeated
value in the dataset. Standard Deviation derives level of variation. It is very
commonly used as 1 sigma,2 Sigma, 3 Sigma, 4 Sigma, 5 Sigma and 6 Sigma.
Healthcare and airline industry should meet 6 Sigma hence any industry which
can have huge impact either on life or intensity of disaster higher sigma is good.
To keep this session simple, I will populate
an object CarsMileage with certain set of values and later derive statistical
values.
Let us populate CarsMileage with 20 random
values, which defines mileage for last 20 weeks.
CarsMileage <- c(12, 14, 12.5,
13.5, 15, 10, 11, 12, 12, 14, 12, 11.5, 12.5, 13.5, 15, 10.5, 15, 12, 14, 14)
Let us calculate Statistical value:
**********
Minimum value is the least value all numbers
in the dataset
min(CarsMileage)
This will result in the minimum value i.e.,
10
**********
Maximum value is the maximum value all
numbers in the dataset
max(CarsMileage)
This will result in the maximum value i.e.,
15
**********
Mean value is the average of all values
mean(CarsMileage)
This will result in the mean value i.e., 12.8
**********
Median value is the middle most value of the
dataset. Dataset gets sorted in the memory, post that middle value is derived.
In case of even number of data points Median is derive as the average of middle
2 values, whereas in case of odd number of values middle most value is the
Median.
median(CarsMileage)
Median value of this dataset will be 12.5
***********
Mode is the value which is maximum times
there in the dataset for string and data type of numeric.
mode(CarsMileage)
Mode value of this dataset is “numeric”.
**********
Standard Deviation of the dataset
sd(CarsMileage)
Standard Deviation value of this dataset is 1.499123
**********
Variance of this dataset
var(CarsMileage)
Variance value of this dataset is
2.247368
**********
Let us find out the probability of 10 mph using
standard normal distribution.
pnorm(10, mean(CarsMileage), sd(CarsMileage))
Similarly, if one would like to understand if
standardization value follows normal distribution.
qqnorm(CarsMileage)
qqline(CarsMileage)
***********
If in one shot we would like to have a
summary of key statistical values, it is very easy to achieve using R
programing language.
summary(CarsMileage)
This will get us below set of details:
Min. 1st Qu.
Median Mean 3rd Qu.
Max.
10.0 12.0
12.5 12.8 14.0 15.0
I hope first glimpse of statistical power
must have been very helpful. Now that we have got key statistical formulas
handy we should explore more. We should explore more statistical power with R
programming in coming sessions. In my next blog, I will cover “Graphical
representation of statistical values using R Studio”.
Thank you for sparing time and going through
this blog I hope it helped you grasp basics of statistical power using R. Kindly
share your valuable and kind opinion. Please do not forget to suggest what you
would like to understand and hear from me in my future blogs.
Thank you...
Outstanding Outliers::
"AG".
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