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An Introduction to Sampling and its Types

An Introduction to Sampling and its Types

Sampling is a technique in which a predefined number of observation is taken from a large population for the purpose of statistical analysis and research.

There are two types of sampling techniques:-

Random Sampling

Random sampling is a sampling technique in which each observation has an equal probability of being chosen. This kind of sample should be an unbiased representation of the population.

Types of random sampling

  1. Simple Random Sampling:- Simple random sampling is a technique in which any observation can be chosen and each observation has an equal probability of being selected.
  2. Stratified Random Sampling:- In this sampling technique we create sub-group of the population with similar attributes and characteristics and then out of those sub-groups we then include each category in our sample with the probability of choosing each observation from the sub-group being equal.

  3. Systematic Sampling:- This is a sampling technique where the first observation is selected randomly and then every kth element is chosen randomly to be included in our sample.
    k= 2, here the first observation is selected randomly and after that every second element is included in the sample.

  4. Cluster Sampling:- This is a sampling technique in which the data is grouped into small sub-groups called clusters with random categories and then from those clusters random observation is selected which then is included in the sample.

Two clusters are created from which then random observation will be chosen to form the sample.

Non-Random Sampling :- It is a sampling technique in which an element of biasedness is introduced which means that an observation is selected for the sample on the basis of not probability but choice.

Types of non-random sampling:-

  1. Convenience Sampling:- When a sample observation is drawn from the population based on how comfortable it is for you to take the observation it is called convenience sampling. For example when you have a survey sheet that is to be filled by students from all the departments of your college but you only ask your friends to fill the survey sheet.
  2. Judgment Sampling:– When the sample observation drawn from the population is based on your professional judgment or past experience, it is called judgment sampling.
  3. Quota Sampling:– When you draw a sample observation from the population that is based on some specific attribute, it is called quota sampling. For example, taking sample of people over and above 50 years.
  4. Snow Ball Sampling:– When survey subjects are selected based on referral from other survey respondents, it is called snow ball sampling.

Sampling and Non-sampling errors

Sampling errors:- It occurs when the sample is not representative of the entire population.  For example a sample of 10 people with or without COVID-19 cannot tell whether or not the entire population of a country is COVID positive.

Non-sampling error:-This kind of error occurs during data collection. For example, during data collection if you falsely specified a name, it will be considered a non-sampling error.

So, with that this discussion on Sampling wraps up, hopefully, at the end of this you have learned what Sampling is, what are its variations and how do they all work. If you need further clarification, then check out our video tutorial on Sampling attached down the blog. DexLab Analytics provides the best data science course in gurgaon, keep following the blog section to stay updated.


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Hypothesis Testing: An Introduction

Hypothesis Testing: An Introduction

You must be familiar with the phrase hypothesis testing, but, might not have a very clear notion regarding what hypothesis testing is all about. So, basically the term refers to testing a new theory against an old theory. But, you need to delve deeper to gain in-depth knowledge.

Hypothesis are tentative explanations of a principal operating in nature. Hypothesis testing is a statistical method which helps you prove or disapprove a pre-existing theory.

Hypothesis testing can be done to check whether the average salary of all the employees has increased or not based on the previous year’s data, testing can be done to check if the percentage of passengers increased or not in the business class due to introduction of a new service and testing can also be done to check the differences in the productivity varied land.

There are two key concepts in testing of hypothesis:-

Null Hypothesis:- It means the old theory is correct, nothing new is happening, the system is in control, old standard is correct etc. This is the theory you want to check if is true or not. For example if a ice-cream factory owner says that their ice-cream contains 90% milk, this can be written as:-

Alternative Hypothesis:- It means new theory is correct, something is happening, system is out of control, there are new standards etc. This is the theory you check against the null hypothesis. For example you say that ice-cream does not contain 90% milk, this can be written as:-

Two-tailed, right tailed and left tailed test

Two-tailed test:- When the test can take any value greater or less than 90% in the alternative it is called two-tailed test ( H190%) i.e. you do not care if the alternative is more or less all you want to know is if it is equal to 90% or no.

Right tailed test:-When your test can take any value greater than 90% (H1>90%) in the alternative hypothesis it is called right tailed test.

Left tailed test:-When your test can take any value less than 90% (H1<90%) in the alternative hypothesis it is called left tailed test.

Type I error and Type II error

->When we reject the null hypothesis when it is true we are committing type I error. It is also called significance level.

->When we accept the null hypothesis when it is false we are committing type II error.

Steps involved in hypothesis testing

  1. Build a hypothesis.
  2. Collect data
  3. Select significance level i.e. probability of committing type I error
  4. Select testing method i.e. testing of mean, proportion or variance
  5. Based on the significance level find the critical value which is nothing but the value which divides the acceptance region from the rejection region
  6. Based on the hypothesis build a two-tailed or one-tailed (right or left) test graph
  7. Apply the statistical formula
  8. Check if the statistical test falls in the acceptance region or the rejection region and then accept or reject the null hypothesis

Example:- Suppose the average annual salary of the employees in a company in 2018 was 74,914. Now you want to check whether the average salary  of the employees has increased or not in 2019. So, a sample of 112 people were taken and it was found out  that the average annual salary of the employees in 2019 is 78,795. σ=14.530.

We will apply hypothesis testing of mean when  known with 5% of significance level.

The test result shows that 2.75 falls beyond the critical value of 1.9 we reject the null hypothesis which basically means that the average salary has increased significantly in 2019 compared to 2018.

So, now that we have reached at the end of the discussion, you must have grasped the fundamentals of hypothesis testing. Check out the video attached below for more information. You can find informative posts on Data Science course, on Dexlab Analytics blog.


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Linear Regression Part I: A Comprehensive Guide to Linear Regression

Linear Regression Part I: A Comprehensive Guide to Linear Regression

Today’s blog explores another vital statistical concept Linear Regression, let’s begin. Linear regression is normally used in statistics for predictive modeling. It tries to model a relationship between two independent (explanatory variable) and dependent (explained variable) variables X and Y by fitting a linear equation (Y=bo+b1X+Ui) to an observed data.

Assumptions of linear regression

  • Ui is a random real variable, where Ui is the difference between the observed dependent variable Y and predicted Y variable.
  • The mean of Ui in any particular period is zero.
  • The variance of Ui is constant in each period i.e for all values of X, Ui will show the same dispersion around their mean
  • The variable Ui has a normal distribution i.e the value of Ui (for each Xi) have a bell shaped symmetrical distribution about their zero mean.
  • The random terms of different observations are independent i.e the covariance of any Ui with any other Uj is equal to zero.
  • Ui is independent of the explanatory variable X.
  • Xi are a set of fixed values in the hypothesised process of repeated sampling which underlies the linear regression model.
  • In case there are more than one explanatory variables then they are not perfectly linearly correlated.

Linear Regression equation can be written as:

Where,

 is the dependent variable

X is the independent variable.

b0 is the intercept (where the line crosses the vertical y-axis)

b1 is the slope

Ui is the error term (difference between ) also called residual or white noise.

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Simple linear regression follows the properties of Ordinary Least Square (OLS) which are as follows:-

  1. Unbiased estimator:- E()=b ie. an estimator is unbiased if its bias is 0; E() – b = 0
  2. Minimum Variance:- An estimate is best when it has the smallest variance as compared to any other estimate obtained from other econometric method.
  3. Efficient estimator:- When it has both the previous properties ie.
  4. Linear estimator
  5. Best, Linear, Unbiased estimator (BLUE)
  6. Minimum mean squared error (MSE) estimator:- It is a combination of the unbiasedness and minimum variance properties. An estimator is a minimum MSE estimator if it has the smallest mean square error.

With that the discussion on Linear Regression wraps up here, hopefully it cleared away any confusion you might have and helped you get a grasp on the concept. We have a video discussion on this same topic, which is attached below this blog, check it out for further reference.

Continue to track the DexLab Analytics blog to find informative posts related to Python for data science training.


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Why Pursuing a Certification Course in Machine Learning Makes Sense Than Doing Self-Study?

Why Pursuing a Certification Course in Machine Learning Makes Sense Than Doing Self-Study

If you are aware of the growth opportunities awaiting you in the Machine Learning domain, you must be in a rush to master the Machine Learning skills. Now, there are courses available that aim to sharpen the students with skills they would need to work in a challenging environment. However, some often prefer the self-study mode for developing knowledge in this highly specialized domain. No matter which way you prefer to learn, ultimately your passion and dedication would matter the most, because in both ways you need to put in the hard work and really toil hard to make any progress.

Is self-study a feasible option?

If you have already been through some course and want to go to the advanced level through self-study that’s a different issue, but, for those who are just starting out without any background in science, does it even make any sense to opt for self-study?

Given the way Machine Learning technology is moving fast and creating a demand for professionals with highly specialized industry knowledge, do you think self-study would be enough? Do you think a self-study plan to learn something you have no idea about would work? How much time would you need to devote? What should be your learning route? And how do you know this is the right path to follow?

Before we dive deeper into the discussion, we need to go through some prerequisites for Machine Learning study plan.

Machine learning is a broad field and assuming you are a beginner with no prior knowledge in this domain, you have to be familiar with mathematics, statistics, programming  languages, meaning undergoing a Python certification training</strong>, must be proficient in data handling including analysis and modeling, you have to work on algorithms. So, can you pick up all of these skills one by one via self-study? Add to the list the latest Machine Learning tools and applications you need to grasp.

There will be help available in the form of:

  • There would be vast resources, in forms of e-books, lectures, video tutorials, most of these are free and easily accessible.
  • There are forums, groups out there which you can join and access help
  • You can take part in online competitions

Think it through. How long will it take for you to get from one stage to the next?

 Even though there being no dearth of resources available you would be struggling with your progress and most importantly you would struggle to keep up with the pace the technology is moving ahead. Picking up a programming language, grasping and mastering concepts of linear algebra, probability, data is going to be a mammoth task.

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What difference a certification course can make?

  • To begin with these courses are designed for people coming from different backgrounds, so, you having or, not having any prior knowledge in mathematics, statistics wouldn’t matter as you would be taught everything from scratch be it math or, Machine Learning Using Python.
  • The programs are designed for both working professionals as well as for beginners, all you need to do is choose the one that suits your specific level.
  • These courses are designed to transform you into an industry-ready professional and you would be under the guidance of professionals who are more than familiar with the nuances of the way the industry functions.
  • The modules would follow a strict schedule and your training path would be well planned out covering all the areas you need to master.
  • You would learn via hands-on training and get to handle projects. Nothing makes you skilled like hands-on training.

Your journey towards a smarter future needs to be through a well mapped-out path, so, be smart about it. DexLab Analytics offers industry-ready courses on Data Science, Machine Learning course in Gurgaon and AI with Python. Take advantage of the courses that are taught by instructors who have both expertise and experience. Time is indeed money, so, stop wasting time and get down to learning.


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ANOVA PART I: The Introductory Guide to ANOVA

ANOVA PART I: The Introductory Guide to ANOVA

 In this blog, we are going to be discussing a statistical technique, ANOVA, which is used for comparison. 

The basic principal of ANOVA is to test for differences among the mean of different samples. It examines the amount of variation within each of these samples and the amount of variation between the samples. ANOVA is important in the context of all those situations where we want to compare more than two samples as in comparing the yield of crop from several variety of seeds etc.

The essence of ANOVA is that the total amount of variation in a set of data is broken in two types:-

  1. The amount that can be attributed to chance.
  2. The amount which can be attributed to specified cause.

One-way ANOVA

Under the one-way ANOVA we compare the samples based on a single factor. For example productivity of different variety of seeds.

Stepwise process involved in calculation of one-way ANOVA is as follows:-

  1. Calculate the mean of each sample X ̅
  2. Calculate the super mean
  3. Calculate the sum of squares between (SSB) samples

  1. Divide the result by the degree of freedom between the samples to obtain mean square between (MSW) samples.
  2. Now calculate variation within the samples i.e. sum of square within (SSW)

  1. Calculate mean square within (MSW)

  2. Calculate the F-ratio

  3. Last but not the least calculate the total variation in the given samples i.e. sum of square for total variance.

Lets now solve a one-way ANOVA problem.

A,B and C are three different variety of seeds and now we need to check if there is any variation in their productivity or not. We will be using one-way ANOVA as there is a single factor comparison involved i.e. variety of seeds.

The f-ratio is 1.53 which lies within the critical value of 4.26 (calculated from the f-distribution table).

Conclusion:- Since the f-ratio lies within the acceptance region we can say that there is no difference in the productivity of the seeds and the little bit of variation that we see is caused by chance.

Two-way ANOVA will be discussed in my next blog so do comeback for the update.

Hopefully, you have found this blog informative, for more clarification watch the video attached down the blog. You can find more such posts on Data Science course topics, just keep on following the DexLab Analytics blog.


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Introducing Automation: Learn to Automate Data Preparation with Python Libraries

Introducing automation

In this blog we are discussing automation, a function for automating data preparation using a mix of Python libraries. So let’s start.

Problem statement

A data containing the following observation is given to you in which the first row contains column headers and all the other rows contains the data. Some of the rows are faulty, a row is faulty if it contains at least one cell with a NULL value. You are supposed to delete all the faulty rows containing NULL value written in it.

In the table given below, the second row is faulty, it contains a NULL value in salary column. The first row is never faulty as it contains the column headers. In the data provided to you every cell in a column may contain a single word and each word may contain digits between 0 & 9 or lowercase and upper case English letters. For example:

In the above example after removing the faulty row the table looks like this:

The order of rows cannot be changed but the number of rows and columns may differ in different test case.

The data after preparation must be saved in a CSV format. Every two successive cells in each row are separated by a single comma ‘,’symbol and every two successive rows are separated by a new-line ‘\n’ symbol. For example, the first table from the task statement to be saved in a CSV format is a single string ‘S. No., Name, Salary\n1,Niharika,50000\n2,Vivek,NULL\n3,Niraj,55000’ . The only assumption in this task is that each row may contain same number of cells.

Write a python function that converts the above string into the given format.

Write a function:

def Solution(s)

Given a string S of length N, returns the table without the Faulty rows in a CSV format.

Given S=‘S. No., Name, Salary\n1,Niharika,50000\n2,Vivek,NULL\n3,Niraj,55000’

The table with data from string S looks as follows:

After removing the rows containing the NULL values the table should look like this:

You can try a number of strings to cross-validate the function you have created.

Let’s begin.

  • First we will store the string in a variable s
  • Now we will start by declaring the function name and importing all the necessary libraries.
  • Creating a pattern to separate the string from ‘\n’ .
  • Creating a loop to create multiple lists within a list.

In the above code the list is converted to an array and then used to create a dataframe and stored as csv file in the default working directory.

  • Now we need to split the string to create multiple columns.

The above code creates a dataframe with multiple columns.

Now after dropping the rows with NaN values data looks like

To reset the index we can now use .reset_index() method.

  • Now the problem with the above dataframe created is that the NULL values are in string format, so first we need to convert them into NaN values and then only we will be able to drop them. For that we will be using the following code.

Now we will be able to drop the NaN values easily by using .dropna() method.

In the above code we first dropped the NaN values  then we used the first row of the data set to create column names and then dropped the original row. We also made the first column as index.


Hence we have managed to create a function that can give us the above data. Once created this function can be used to convert a string into dataframe with similar pattern.

Hopefully, you found the discussion informative enough. For further clarification watch the video attached below the blog. To access more informative blogs on Data science using python training related topics, keep on following the Dexlab Analytics blog.

Here’s a video introduction to Automation. You can check it down below to develop a considerable understanding of the same:


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How The Industries Are Being Impacted By Data Science?

How The Industries Are Being Impacted By Data Science?

The world has finally woken up and smelled the power of data science and now we are living in a world that is being driven by data. There is no denying the fact that new technologies are coming to the fore that are born out of data-driven insight and numerous sectors are also turning towards data science techniques and tools to increase their operational efficiency.

This in turn is also pushing a demand for skilled people in various sectors who are armed with Data Science course or, Retail Analytics Courses to be able to sift through mountains of data to clean it, sort it and analyze it for uncovering valuable information. Decisions that were earlier taken often on the basis of erroneous data or, assumption can now be more accurate thanks to application of data science.

Now  let’s take a look at which sectors are benefitting the most from data science

Healthcare

The healthcare industry has adopted the data science techniques and the benefits could already be perceived. Keeping track of healthcare records is easier not just that but digging through the pile of patient data and its analysis actually helps in giving hint regarding health issues that might crop up in near future. Preventive care is now possible and also monitoring patient health is easier than ever before.

The development in the field  can also predict which medication would be suitable for a particular patient. Data analytics and data science application is also enabling the professionals in this sector to offer better diagnostic results.

Retail

This is one industry that is reaping huge benefits from the application of data science. Now sorting through the customer data, survey data it is easier to gauge the customers’ mindset. Predictive analysis is helping the experts in this field to predict the personal preference of the consumers and they are able to come up with personalized recommendations that is bound to help them retain customers.  Not just that they can also find the problem areas in their current marketing strategy to make changes accordingly.

Transport

Transport is another sector that is using data science techniques to its advantage and  in turn it is increasing its service quality. Both the public and private transportation services providers are keeping track of customer journey and getting the details necessary to develop personalized information, they are also helping people be prepared for unexpected issues and most importantly they are helping people reach their destinations without any glitch.

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Finance

If so many industries are reaping benefits, Finance is definitely to follow suit. Dealing with  valuable data regarding banking transactions, credit history is essential. Based on the data insight it is possible to offer customers personalized financial advice. Also the credit risk issue could be minimized thanks to the insight derived from a particular customer’s credit history. It would allow the financial institute make an informed decision. However, credit risk analytics training would be required for personnel working in this field. 

Telecom

The field of telecom is surely a busy sector that has to deal with tons of valuable data. With the application of data science now they are able to find a smart solution to process the data they gather from various call records, messages, social media platforms in order to design and deliver services that are in accordance with customers’ individualistic needs.

Harnessing the power of data science is definitely going to impact all the industries in future. The data science domain is expanding and soon there would be more miracles to observe. Data Science training can help upskill the employees reduce the skill gap that is bugging most sectors.


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Probability PART-II: A Guide To Probability Theorems

Probability PART-II: A Guide To Probability Theorems

This is the second part of the probability series, in the first segment we discussed the basic concepts of probability. In this second part we will delve deeper into the topic and discuss the theorems of probability. Let’s find out what these theorems are.

Addition Theorem

    • If A and B are two events and they are not necessarily mutually exclusive then the probability of occurrence of at least one of the two events A and B i.e. P(AUB) is given by



 
 
 
 
Removing the intersections will give the probability of A or B  or both.
 
 
 
 
 
 
Example:- From a deck of cards 1 card is drawn, what is the probability the card is king or heart or both?

Total cards 52

P(KingUHeart)= P(King)+P(Heart) ─ P(King∩Heart)

  • If A and B are two mutually exclusive events then the probability that either A or B will occur is the sum of individual probabilities of the events A and B.

 
 
 
 
 
 
P(A)+P(B), here the combined probability of the two will either give P(A) or P(B)
 
 
 
 
 
 

  • If A and B are two non mutually exclusive events then the probability of occurrence of event A is given by

    

 
 
 
Where B’ is 1-P(B), that means probability of  A is calculated as P(A)=1-P(B)
 
 
 
 
 
 
 

Multiplication Law

The law of multiplication is used to find the joint probability or the intersection i.e. the probability of two events occurring together at the same point of time.

In the above graph we see that when the bill is paid at the same time tip is also paid and the interaction of the two can be seen in the graph.

Joint probability table

A joint probability table displays the intersection (joint) probabilities along with the marginal probabilities of a given problem where the marginal probability is computed by dividing some subtotal by the whole.

Example:- Given the following joint probability table find out the probability that the employee is female or a professional worker.

Watch this video down below that further explains the theorems.

At the end of this blog, you must have grasped the basics of the theorems discussed here. Keep on tracking the Dexlab Analytics blog where you will find more discussions on topics related to Data Science training.


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What Role Does A Data Scientist Play In A Business Organization?

What Role Does A Data Scientist Play In A Business Organization?

The job of a data scientist is one that is challenging, exciting and crucial to an organization’s success.  So, it’s no surprise that there is a rush to enroll in a Data Science course, to be eligible for the job. But, while you are at it, you also need to have the awareness regarding the job responsibilities usually bestowed upon the data scientists in a business organization and you would be surprised to learn that the responsibilities of a data scientist differs from that of a data analyst or, a data engineer.

So, what is the role and responsibility of a data scientist?  Let’s take a look.

The common idea regarding a data scientist role is that they analyze huge volumes of data in order to find patterns and extract information that would help the organizations to move ahead by developing strategies accordingly. This surface level idea cannot sum up the way a data scientist navigates through the data field. The responsibilities could be broken down into segments and that would help you get the bigger picture.

Data management

The data scientist, post assuming the role, needs to be aware of the goal of the organization in order to proceed. He needs to stay aware of the top trends in the industry to guide his organization, and collect data and also decide which methods are to be used for the purpose. The most crucial part of the job is the developing the knowledge of the problems the business is trying solve and the data available that have relevance and could be used to achieve the goal. He has to collaborate with other departments such as analytics to get the job of extracting information from data.

Data analysis

Another vital responsibility of the data scientist is to assume the analytical role and build models and implement those models to solve issues that are best fit for the purpose. The data scientist has to resort to data mining, text mining techniques. Doing text mining with python course can really put you in an advantageous position when you actually get to handle complex dataset.

Developing strategies

The data scientists need to devote themselves to tasks like data cleaning, applying models, and wade through unstructured datasets to derive actionable insight in order to gauge the customer behavior, market trends. These insights help a business organization to decide its future course of action and also measure a product performance. A Data analyst training institute is the right place to pick up the skills required for performing such nuanced tasks.

Collaborating

Another vital task that a data scientist performs is collaborating with others such as stakeholders and data engineers, data analysts communicating with them in order to share their findings or, discussing certain issues. However, in order to communicate effectively the data scientists need to master the art of data visualization which they could learn while pursuing big data courses in delhi along with deep learning for computer vision course.  The key issue here is to make the presentation simple yet effective enough so that people from any background can understand it.

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The above mentioned responsibilities of a data scientist just scratch the surface because, a data scientist’s job role cannot be limited by or, defined by a couple of tasks. The data scientist needs to be in synch with the implementation process to understand and analyze further how the data driven insight is shaping strategies and to which effect. Most importantly, they need to evaluate the current data infrastructure of the company and advise regarding future improvement. A data scientist needs to have a keen knowledge of Machine Learning Using Python, to be able to perform the complex tasks their job demands.


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