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- The chi-square distribution
- Summary of formulas
This module provides a summary on formulas used in Chi-Square Distribution as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
The chi-square probability distribution
and
Goodness-of-fit hypothesis test
- Use goodness-of-fit to test whether a data set fits a particular
probability distribution.
- The degrees of freedom are
.
- The test statistic is
, where
= observed values (data),
= expected values (from theory), and
= the number of different data cells
or categories.
- The test is right-tailed.
Test of independence
- Use the test of independence to test whether two factors are
independent or not.
- The degrees of freedom are equal to
.
- The test statistic is
where
= observed values,
= expected values,
= the number of rows in the
table, and
= the number of columns in
the table.
- The test is right-tailed.
- If the null hypothesis is true, the expected number
.
Test of homogeneity
- Use the test for homogeneity to decide if two populations with unknown distributions have the same distribution as each other.
- The degrees of freedom are equal to
.
- The test statistic is
where
= observed values,
= expected values,
= the number of rows in the
table, and
= the number of columns in
the table.
- The test is right-tailed.
- If the null hypothesis is true, the expected number
.
The expected value for each cell needs to be at least 5 in order to
use the Goodness-of-Fit, Independence and Homogeneity tests.
Test of a single variance
- Use the test to determine variation.
- The degrees of freedom are the number of samples - 1.
- The test statistic is
, where
= the total number of data,
= sample variance, and
= population variance.
- The test may be left, right, or two-tailed.
Questions & Answers
Discuss the differences between taste and flavor, including how other sensory inputs contribute to our perception of flavor.
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Omeprazole
Cimetidine / Tagament
For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include:
1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
Anatomy is the identification and description of the structures of living things
Kamara
what's the difference between anatomy and physiology
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
AI-Robot
what is enzymes all about?
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
how does the stomach protect itself from the damaging effects of HCl
little girl okay how does the stomach protect itself from the damaging effect of HCL
Wulku
it is because of the enzyme that the stomach produce that help the stomach from the damaging effect of HCL
Kamara
function of digestive system
function of digestive
Ali
what is the normal body temperature
please why 37 degree selcius normal temperature
Mark
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body
the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
Stephanie
anaemia is the decrease in RBC count hemoglobin count and PVC count
Eniola
what is the pH of the vagina
how does Lysin attack pathogens
Diya
I information on anatomy position and digestive system and there enzyme
anatomy of the female external genitalia
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Source:
OpenStax, Collaborative statistics. OpenStax CNX. Jul 03, 2012 Download for free at http://cnx.org/content/col10522/1.40
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