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Paired t-test | Statistical Testing
Learning Statistics with Python
course content

Contenido del Curso

Learning Statistics with Python

Learning Statistics with Python

1. Basic Concepts
2. Mean, Median and Mode with Python
3. Variance and Standard Deviation
4. Covariance vs Correlation
5. Confidence Interval
6. Statistical Testing

bookPaired t-test

The following function conducts a paired t-test:

This process resembles the one used for independent samples, but here we do not need to check the homogeneity of variance. The paired t-test explicitly does not assume that variances are equal.

Keep in mind that for a paired t-test, it's crucial that the sample sizes are equal.

With this information in mind, you can proceed to the task of conducting a paired t-test.

Here, you have data regarding the number of downloads for a particular app. Take a look at the samples: the mean values are nearly identical.

123456789101112
import pandas as pd import matplotlib.pyplot as plt # Read the data before = pd.read_csv('https://codefinity-content-media.s3.eu-west-1.amazonaws.com/a849660e-ddfa-4033-80a6-94a1b7772e23/Testing2.0/before.csv').squeeze() after = pd.read_csv('https://codefinity-content-media.s3.eu-west-1.amazonaws.com/a849660e-ddfa-4033-80a6-94a1b7772e23/Testing2.0/after.csv').squeeze() # Plot histograms plt.hist(before, alpha=0.7) plt.hist(after, alpha=0.7) # Plot the means plt.axvline(before.mean(), color='blue', linestyle='dashed') plt.axvline(after.mean(), color='gold', linestyle='dashed')
copy

Tarea

We establish the hypotheses:

  • H₀: The mean number of downloads before and after the changes is the same;
  • Hₐ: The mean number of downloads is greater after the modifications.

Conduct a paired t-test with this alternative hypothesis, using before and after as the samples.

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

¡Gracias por tus comentarios!

Sección 6. Capítulo 8
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bookPaired t-test

The following function conducts a paired t-test:

This process resembles the one used for independent samples, but here we do not need to check the homogeneity of variance. The paired t-test explicitly does not assume that variances are equal.

Keep in mind that for a paired t-test, it's crucial that the sample sizes are equal.

With this information in mind, you can proceed to the task of conducting a paired t-test.

Here, you have data regarding the number of downloads for a particular app. Take a look at the samples: the mean values are nearly identical.

123456789101112
import pandas as pd import matplotlib.pyplot as plt # Read the data before = pd.read_csv('https://codefinity-content-media.s3.eu-west-1.amazonaws.com/a849660e-ddfa-4033-80a6-94a1b7772e23/Testing2.0/before.csv').squeeze() after = pd.read_csv('https://codefinity-content-media.s3.eu-west-1.amazonaws.com/a849660e-ddfa-4033-80a6-94a1b7772e23/Testing2.0/after.csv').squeeze() # Plot histograms plt.hist(before, alpha=0.7) plt.hist(after, alpha=0.7) # Plot the means plt.axvline(before.mean(), color='blue', linestyle='dashed') plt.axvline(after.mean(), color='gold', linestyle='dashed')
copy

Tarea

We establish the hypotheses:

  • H₀: The mean number of downloads before and after the changes is the same;
  • Hₐ: The mean number of downloads is greater after the modifications.

Conduct a paired t-test with this alternative hypothesis, using before and after as the samples.

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

¡Gracias por tus comentarios!

Sección 6. Capítulo 8
toggle bottom row

bookPaired t-test

The following function conducts a paired t-test:

This process resembles the one used for independent samples, but here we do not need to check the homogeneity of variance. The paired t-test explicitly does not assume that variances are equal.

Keep in mind that for a paired t-test, it's crucial that the sample sizes are equal.

With this information in mind, you can proceed to the task of conducting a paired t-test.

Here, you have data regarding the number of downloads for a particular app. Take a look at the samples: the mean values are nearly identical.

123456789101112
import pandas as pd import matplotlib.pyplot as plt # Read the data before = pd.read_csv('https://codefinity-content-media.s3.eu-west-1.amazonaws.com/a849660e-ddfa-4033-80a6-94a1b7772e23/Testing2.0/before.csv').squeeze() after = pd.read_csv('https://codefinity-content-media.s3.eu-west-1.amazonaws.com/a849660e-ddfa-4033-80a6-94a1b7772e23/Testing2.0/after.csv').squeeze() # Plot histograms plt.hist(before, alpha=0.7) plt.hist(after, alpha=0.7) # Plot the means plt.axvline(before.mean(), color='blue', linestyle='dashed') plt.axvline(after.mean(), color='gold', linestyle='dashed')
copy

Tarea

We establish the hypotheses:

  • H₀: The mean number of downloads before and after the changes is the same;
  • Hₐ: The mean number of downloads is greater after the modifications.

Conduct a paired t-test with this alternative hypothesis, using before and after as the samples.

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

¡Gracias por tus comentarios!

The following function conducts a paired t-test:

This process resembles the one used for independent samples, but here we do not need to check the homogeneity of variance. The paired t-test explicitly does not assume that variances are equal.

Keep in mind that for a paired t-test, it's crucial that the sample sizes are equal.

With this information in mind, you can proceed to the task of conducting a paired t-test.

Here, you have data regarding the number of downloads for a particular app. Take a look at the samples: the mean values are nearly identical.

123456789101112
import pandas as pd import matplotlib.pyplot as plt # Read the data before = pd.read_csv('https://codefinity-content-media.s3.eu-west-1.amazonaws.com/a849660e-ddfa-4033-80a6-94a1b7772e23/Testing2.0/before.csv').squeeze() after = pd.read_csv('https://codefinity-content-media.s3.eu-west-1.amazonaws.com/a849660e-ddfa-4033-80a6-94a1b7772e23/Testing2.0/after.csv').squeeze() # Plot histograms plt.hist(before, alpha=0.7) plt.hist(after, alpha=0.7) # Plot the means plt.axvline(before.mean(), color='blue', linestyle='dashed') plt.axvline(after.mean(), color='gold', linestyle='dashed')
copy

Tarea

We establish the hypotheses:

  • H₀: The mean number of downloads before and after the changes is the same;
  • Hₐ: The mean number of downloads is greater after the modifications.

Conduct a paired t-test with this alternative hypothesis, using before and after as the samples.

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
Sección 6. Capítulo 8
Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
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