What is Student's t-test in Statistics ? | Student's t -distribution ? | Explained with Examples

In this video, we will explore the T-Distribution, a fundamental concept in statistics. We will also explain the different types of t-test, such as One Sample t-Test, Paired t-Test .
So, if you're ready to learn about the t-distribution and how it can help you make sense of your data, then this is the video for you!
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🎬 𝐏𝐨𝐢𝐬𝐬𝐨𝐧 𝐃𝐢𝐬𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧 : • Poisson Distribution i...
🎬 𝐒𝐢𝐦𝐩𝐥𝐞 𝐋𝐢𝐧𝐞𝐚𝐫 𝐑𝐞𝐠𝐫𝐞𝐬𝐬𝐢𝐨𝐧 : • What is Simple Linear ...
🎬 𝐒𝐭𝐮𝐝𝐞𝐧𝐭'𝐬 𝐭-𝐭𝐞𝐬𝐭 : • What is Student's t-te...
🎬 𝐀𝐍𝐎𝐕𝐀 (𝐀𝐧𝐚𝐥𝐲𝐬𝐢𝐬 𝐨𝐟 𝐕𝐚𝐫𝐢𝐚𝐧𝐜𝐞) : • What is ANOVA (Analysi...
🎬 𝐁𝐢𝐧𝐨𝐦𝐢𝐧𝐚𝐥 𝐃𝐢𝐬𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧 : • Binominal Distribution...
🎬 𝐂𝐞𝐧𝐭𝐫𝐚𝐥 𝐋𝐢𝐦𝐢𝐭 𝐓𝐡𝐞𝐨𝐫𝐞𝐦 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • What is Central Limit ...
🎬 𝐂𝐡𝐢 𝐒𝐪𝐮𝐚𝐫𝐞 (χ𝟐) 𝐝𝐢𝐬𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧 (𝐆𝐨𝐨𝐝𝐧𝐞𝐬𝐬 𝐨𝐟 𝐅𝐢𝐭) : • What is Chi Square (χ𝟐...
🎬 𝐏-𝐯𝐚𝐥𝐮𝐞 𝐢𝐧 𝐡𝐲𝐩𝐨𝐭𝐡𝐞𝐬𝐢𝐬 𝐭𝐞𝐬𝐭𝐢𝐧𝐠 : • What is P-value in hyp...
🎬 𝐍𝐨𝐫𝐦𝐚𝐥 𝐃𝐢𝐬𝐭𝐫𝐢𝐛𝐮𝐭𝐢𝐨𝐧 𝐢𝐧 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • What is Normal Distrib...
🎬 𝐓𝐲𝐩𝐞 𝟏 𝐄𝐫𝐫𝐨𝐫 𝐕𝐬 𝐓𝐲𝐩𝐞 𝟐 𝐄𝐫𝐫𝐨𝐫 𝐢𝐧 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • What is Type 1 Error V...
🎬 𝐒𝐜𝐚𝐥𝐞𝐬 𝐨𝐟 𝐌𝐞𝐚𝐬𝐮𝐫𝐞𝐦𝐞𝐧𝐭 𝐢𝐧 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • Scales of Measurement ...
🎬 𝐇𝐲𝐩𝐨𝐭𝐡𝐞𝐬𝐢𝐬 𝐓𝐞𝐬𝐭𝐢𝐧𝐠 : • What is Hypothesis Tes...
🎬 𝐇𝐲𝐩𝐨𝐭𝐡𝐞𝐬𝐢𝐬 𝐓𝐞𝐬𝐭𝐢𝐧𝐠 𝐒𝐨𝐥𝐯𝐞𝐝 𝐏𝐫𝐨𝐛𝐥𝐞𝐦𝐬 ? • Hypothesis Testing Sol...
🎬 𝐂𝐨𝐧𝐟𝐢𝐝𝐞𝐧𝐜𝐞 𝐈𝐧𝐭𝐞𝐫𝐯𝐚𝐥 𝐢𝐧 𝐒𝐭𝐚𝐭𝐢𝐬𝐭𝐢𝐜𝐬 : • Confidence Interval in...
🎬 𝐒𝐚𝐦𝐩𝐥𝐢𝐧𝐠: 𝐒𝐚𝐦𝐩𝐥𝐢𝐧𝐠 & 𝐢𝐭𝐬 𝐓𝐲𝐩𝐞𝐬 : • Sampling: Sampling & i...
⏱️ 𝑻𝒊𝒎𝒆 𝑺𝒕𝒂𝒎𝒑 ⏱️
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00:00 - Introduction
00:30 - t-test in statistics ?
02:29 - When to use t-test ?
03:07 - Types of t-test ( One Sample t-Test, Paired t-Test)
04:26 - One sample t-test
04:50 - Two sample Independent t-test
05:40 - Two sample dependent paired t-test
06:30 - Properties of t distribution
07:50 - Example 1 : One sample t-test
09:35 - Example 2 : Paired T-Test
12:30 - Quiz
📢📢 📢📢 𝐅𝐨𝐥𝐥𝐨𝐰𝐬 𝐮𝐬 𝐨𝐧 𝑺𝒐𝒄𝒊𝒂𝒍 𝑴𝒆𝒅𝒊𝒂
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Copyright Disclaimer under section 107 of the Copyright Act of 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. The information contained in this video is just for educational and informational purposes only and does not have any intention to mislead or violate Google and UA-cam community guidelines or policy. I respect and follow all terms & conditions of Google & UA-cam.
𝐂𝐨𝐦𝐦𝐨𝐧 𝐊𝐞𝐲 𝐬𝐞𝐚𝐫𝐜𝐡 𝐫𝐞𝐥𝐚𝐭𝐞𝐝 𝐭𝐨 𝐭𝐡𝐢𝐬 𝐭𝐨𝐩𝐢𝐜 :
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#student_t_distribution #t_distribution #statistics #normaldistribution
What is Student's T-Distribution in statistics ?
Independent t-test for two samples
One Sample t-test
Understanding t-Tests
Paired t-test
What is t test in statistics
Introduction to t Tests
What is the t-test used for in statistics?
What are the 3 types of t-tests?
What is Z test and t-test statistics?
What is a t-test ?
Student's t-test
student's t distribution
What Is T-test its Significance in Hypothesis Testing
Guide to the T-Test
When is the T-Test used?
When to Use Z-test vs T-test
t-Test Formula
How to Calculate t-Test with Examples
Key Differences Between Z-Test Vs T-Test

[@DigitalELearning]

👀 Hello Friends, 𝐉𝐨𝐢𝐧 my 𝑺𝒐𝒄𝒊𝒂𝒍 𝑴𝒆𝒅𝒊𝒂 𝑳𝒊𝒏𝒌 for regular updates:
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🙋🏻‍♂𝐖𝐡𝐚𝐭𝐬𝐀𝐩𝐩 (𝐐𝐮𝐚𝐥𝐢𝐭𝐲 𝐀𝐬𝐬𝐮𝐫𝐚𝐧𝐜𝐞 & 𝐐𝐮𝐚𝐥𝐢𝐭𝐲 𝐂𝐨𝐧𝐭𝐫𝐨𝐥) :whatsapp.com/channel/0029VaAKJBGKGGGDjcK4mw2h

[@janakipriya4292]

3rd answer??

[@DigitalELearning]

@janakipriya4292 : Q3 Answer C - Interval or ratio data

[@chaitrabashetti7559]

​@@DigitalELearning What is the interval or ratio data?

[@Oksharmistharoy2722]

Good

[@DigitalELearning]

Thanks

[@debasispatra8368]

Very Nice explanation. I understood One sample t-test & Paired sample t-test. But want to know Independent sample t-test with example. Please suggest. Thank you.

[@DigitalELearning]

Will upload soon

[@SahildeepSingh-nd5zq]

Hello sir I really liked your video it helped alot to me in learning these concepts. But still i have 1 doubt regarding the second example questions that is for paired t test the calculation not seems right can you please verify the second example that would help me alot if you do that

[@antosandras]

Yes, he forgot to take square root in the numerator of s_d.

[@Booshu-to2qe]

Hello sir,Thank you for your great work .I have a doubt,sir how do you fix to see whether it's a one tailed or two tailed to see in the table

[@DigitalELearning]

To determine if a statistical test is one-tailed or two-tailed, examine your hypothesis. If it specifies a direction (greater or less than), it's one-tailed. If it's about a difference without specifying direction, it's two-tailed. Use the appropriate critical values from the table based on your hypothesis type.

[@reetikasharma7304]

When to use t distribution?
3rd point, can u please explain again. Rest all content is awesome

[@DigitalELearning]

Hi Reetika, First of all apologies for late reply.
See we are talking about "Population distribution is Unimodal and Skewed " . Unimodal means it has a single peak or a single "bump" or hump in the shape of the distribution. and Skewed means its not symmetrical around its central point (mean, median, or mode).

[@user-yp1rg2jr5z]

Hello, I want to know that is T distribution a sampling distribution?
If it is than why this curve getting flatter? For sampling distribution we know that if n increases the variance will decrease.

[@DigitalELearning]

Yes, the T distribution is a sampling distribution. The T distribution becomes flatter as degrees of freedom increase. Despite increased sample size reducing variance, the T distribution's flattening reflects increased certainty about the population mean due to larger sample sizes, leading to values closer to the population mean.

[@soundaravallidevarajan335]

Problem solving very fantastic 🙏🙏

[@DigitalELearning]

Thanks and welcome

[@_curiosity...8731]

When we look at the t-table, in column section, there are 2 options, one-tail and two-tails. My question is, how do we know that whether it is one or two tail test? Please comment..

[@kaviyas9531]

It's depends upon the hypothesis you formulate. Suppose in this video at first numerical question sir took one tail because our alternative hypothesis said that our mu should be greater than 40 so it will come on only one tail. But if u consider on 2nd question mu is not equal to zero so we should consider this as mu less than zero or mu greater than zero so here we will use two tail test

[@DigitalELearning]

Thank you Kaviyas for explaing it.

[@DigitalELearning]

Knowing whether to use a one-tail or two-tail test depends on your hypothesis. Imagine you flip a coin.
- One-tail test: You predict it will land on heads. You only need to look at the "heads" side of the coin.
- Two-tail test: You don't know which side it will land on. You need to look at both sides of the coin.
I hope your query is now clear

[@zahidbaig48baig49]

If the hypothesis shows equality it is two tail
If the hypothesis shows signs greater and smaller than it is one tail

[@BilalAwan-xh8uk]

If ho equal ho aur h1 not equal ho to two tailed and if ho is greater equal or less equal ho to h1 ,< aye ga aur h1> respectively Hoga to one tail test use hoga

[@fakharunnisa5442]

Amazing.

[@DigitalELearning]

Thank you! Cheers!

[@chaitrabashetti7559]

What is the difference between nominal, ordinal and interval data?

[@DigitalELearning]

Watch this video on Scales of Measurement in Statistics - Nominal, Ordinal, Interval, Ratio | Level of Measurement : ua-cam.com/video/3BuJjrLDsNY/v-deo.html

[@bakingtherapybyaish]

Which table can one use when u have negative calculated value

[@DigitalELearning]

We use the same t table for both

[@soundaravallidevarajan335]

Thank you

[@DigitalELearning]

You're welcome

[@MehnazBibi-pm4bb]

What is meant by student t- distribution11aborate with an example:
Confidence interval estimation from a sample of 11 observations.
Conduct a sample test of mean given the data in part a.
This type of question solved video?

[@reetikasharma7304]

1a
2d
3a

[@DigitalELearning]

Hello Reetika, Your Q1 and A2 are correct but not the Q3. Do you want to try again ?

[@nikipradhan295]

C. Interval and ratio data

[@ray94110]

Standard deviation toh video jesa same aa hi NH raha ...😢. Plz help

[@DigitalELearning]

Watch this video on Standard deviation :ua-cam.com/video/xVXHtREtCls/v-deo.html

[@venkateshmallisetty4196]

When u r calculating t n=5 but y u substituted n=4

[@DigitalELearning]

That is for degree of freedom

[@kashishsharma1826]

@@DigitalELearning no for calculated t value also you put n=4 but it shouldve been n=5

[@DigitalELearning]

👀 Hello Friends, 𝐉𝐨𝐢𝐧 my 𝑺𝒐𝒄𝒊𝒂𝒍 𝑴𝒆𝒅𝒊𝒂 𝑳𝒊𝒏𝒌 for regular updates:
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[@user-yd1hj7qj9s]

1.d
2.d
3.c

[@DigitalELearning]

Thanks for replying. Here is the answer key
Q1 A)
Q2 D)
Q3 C)

[@manishabhoi4924]

2d