Significancy test

#1
Hello, suppose i have example of buyer's age from 3 product

Notebook:35,25,40,30
Smartphone:20,21,25,30,25
Watch:35,20,30,45,35

I want to make a hypothesis like this:
"Is buyer's age will significanly affect product choices?"

So the questions:
1. I confuse how to choose independent variable. Is Product choices will be dependent variable?
Can ANOVA calculate where dependent variable is categorical?

2. Is the hypothesis will be Same with:
"From 3 product choices, are there significanly buyer's age?"

Thank you for your attention. Sorry for my english
 

obh

Active Member
#2
hI Ichsan,

You may compare the average age per product to see if the difference in average age is significant.
In this case, you will use the one way ANOVA:

H0: μ_Note = μ_Smart =μ_Watch
H1: otherwise

In this case, the product is the IV while the age is the DV

Another option is to estimate the probability to buy a product based on age.
In this case, you will use the multinomial logistic regression

example of the result: on age 22: 0.31 Notebook, 0.2 Smartphone, 0.49 Watch

In this case, the age is the IV is the product while the product is the DV
 
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#3
Hello Mr.obh

Thanks for your great answer. So my next question:
"From 3 product choices, are there significanly buyer's age?" = "Is buyer's age will significanly affect product choices?"?

I think it was not same.
Buyer's age affect product choices, therefore product choices become DV that caused by buyer's age. Please correct me.
 

obh

Active Member
#4
"From 3 product choices, are there significanly buyer's age?"
I don't think this sentence is good...
you may ask if the difference in the average age is significant.

Buyer's age affects product choices, therefore product choices become DV that caused by buyer's age..
You may say, the buyer's age affects product choices - for example, young people like colorful phones.
but also may say that the product affects the buyer age, for example, colorful phone attracts young people.
I think both directions are correct ...
So in the 2 examples, I gave previously you use DV and IV differently.
 
#5
I don't think this sentence is good...
you may ask if the difference in the average age is significant.



You may say, the buyer's age affects product choices - for example, young people like colorful phones.
but also may say that the product affects the buyer age, for example, colorful phone attracts young people.
I think both directions are correct ...
So in the 2 examples, I gave previously you use DV and IV differently.
thank you. I think this thread is answered :)