Introduction - Prof. Shalabh

IIT Kanpur July 201
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2 Video Views·Jan 3, 2025
[Music]
[Music]
Hello friends, welcome to the course of Multivit Pros with R
Software.
My name is Shalabh and
I am a professor in the Department of Mathematics and Statistics at the
Indian Institute of Technology
Kanpur.
And in this course I am going to
talk to you about all the different types of tools that are related to our statistics. Now the first
question that comes to mind is what is this, so just like
we have our statistics,
Know about statistics, what is statistics or what
is statistics, it has a very
important role in
doing statistical modeling, what is modeling, it is
a relationship between our input and output variables, which we try to
show through mathematics. Let's try and figure this
out using our statistics tools
and when we
talk about an input and output variable,
what happens in that, like
if we say I want to know something about a person, We have to
tell whether that person is healthy or
not. Now the health of any person
Does it depend on a single factor,
on a single variable
or does it depend on many variables
i.e. the person's blood pressure, blood
sugar, body temperature, apart from this there are many
other factors as well, when all those
factors are taken into account, then our health condition gets affected by it.
If a person's blood pressure is very
high, but if his blood sugar level
or other variables are under control, will
you call him healthy? Probably not. That is why
our multivariate procedure Here
we are going to understand the different methods of statistics to find out a relation between one output variable and more than one input variable.
Now, we are going to understand these
different methods of statistics. We have to
compute on the basis of our numerical data and calculate them. So,
we have
many software to calculate them. We are going to use R software in this course.
This
R software is a free software and
you can use it without spending any money. Download it from any of the given R
software sites
So in this course we
will talk about the multivariate procedures of statistics and
we will try to show you their implementation through R software.
Now
what things do you need to do this course? There
will be a level of Mathematics, I
believe that you must have studied Mathematics at least up to class 10-12
and that is the maximum that we should
study. Apart from this,
you should have knowledge of R software but one problem is
that there are many, many topics in R software,
now
It is a big challenge for us to understand which topics from the ocean,
so for that
we will divide some of our R's lex on
R software
and from there we will try to tell you
that Which topics are we going to use further
and you
can strengthen them by reading them once in your own way.
Secondly,
from this we expect from you that you have
some basic elementary knowledge about statistics. there should be
and when we are here
Talking about multivariate, what does it mean that
before multivariate comes univariate
i.e. if we have only one variable or
bivariate variable i.e. if we have two variables,
till the time we are talking about our statistics related to one variable or two variables Unless we
understand the tools, we will
not be able to understand multivariate. For this,
I have planned this course in such a way that
whatever are the minimum tools of statistics
that we will need to understand multivariate tools
further, we will give them to you
in the beginning. We will give you knowledge, we will try to teach you
and apart from that
we will try to extend it from one variable to two variables and from two variables
to the case of multivariate variable.
Definitely whatever
our statistics is, statistics,
whatever we put in it To
use mathematical tools,
we need a good amount of knowledge of mathematics as well.
So here
we are going to tell you the way in which you can use this tool. In the course that we are
going to handle, I will keep the level of the
mathematical proofs of my results
very low and
I will try to show you only the application part of it,
but it is very difficult
for us to show the application part. It is necessary that we should know the basic fundamentals of that tool, so
this is what I am going to do in this course.
First of all, I will tell you about some elementary operations of ART software
which we are going to use in the future and also
we will learn about our statistics.
I will try to give you our elementary concepts in the beginning
and I will expect from you
that whatever I have explained to you here in a short time,
you will either understand it or if you do
not understand it, then you should try it
yourself to strengthen your knowledge. You can also study from that.
After that, I will take
you from the same univariate and bivariate procedures to
multivariate procedures. So, in
this way, we will plan our course
and whatever
tools we will develop here, we will show them to you.
How to compute them in your R software
And
here we will also
try to understand how to read the output that we will get by giving input to the R software. So with all these things in mind,
let us start our multivariate
procedure from the next lecture.
And before this I hope
that you will once revise the
preliminary concepts of status about your AR software,
so
let's meet you again in the next lecture
where we will discuss our multiway procedure
with AR software
Good bye till the course starts
