Cheddar cheese, total Supply and disposition2 September 2019 October 2019 November 2019 December 2019 January 2020...

	Cheddar cheese, total
Supply and disposition²	September 2019	October 2019	November 2019	December 2019	January 2020
	Tonnes
Supply, total	52,295	56,466	57,389	56,675	57,238
Beginning stocks	39,478	41,949	44,234	42,674	42,274
Production	12,407	13,808	12,474	13,388	14,738
Imports	410	709	680	613	226
Ending stocks	41,949	44,234	42,674	42,274	42,660
Disappearance, total	10,346	12,232	14,714	14,401	14,578
Exports	121	256	367	191	487
Domestic disappearance	10,226	11,976	14,347	14,209	14,091
	Cheddar cheese, total
Supply and disposition²	September 2019	October 2019	November 2019	December 2019	January 2020
	Tonnes
Supply, total	52,295	56,466	57,389	56,675	57,238
Beginning stocks	39,478	41,949	44,234	42,674	42,274
Production	12,407	13,808	12,474	13,388	14,738
Imports	410	709	680	613	226
Ending stocks	41,949	44,234	42,674	42,274	42,660
Disappearance, total	10,346	12,232	14,714	14,401	14,578
Exports	121	256	367	191	487
Domestic disappearance	10,226	11,976	14,347	14,209	14,091

What is the anova table and multiple regression?

Expert Solution

The attached table is an 8x5 table :

ANOVA table tests the significance of supply methods on production of cheddar cheese across 5 months

Equation formation :

Yijk = µ + ri + cj + eijk

ri is the ith row effect (supply)

cj is the jth col effect (months )

ANOVA table is used to perform multiple t-tests to test the effect of 8 different supply methods to quantity of cheddar production

Looks like :

Source	Degrees of freedom	SS	MSS	Fratio
Rows	7	SSR	SSR/7=MSR	MSR/MSE
Columns	4	SSC	SSC/4=MSC	MSC/MSE
Error	28	SSE	SSE/28=MSE
Total	39	SST

However Multiple regression (I am assuming is linear ), Is used to predict the cheddar cheese value in tonnes for next month (Feb 2020) .

Multiple regression table will look like :

	Estimate	Std error	T-value	Pr(>\|t\|)
Intercept
Supply total
Begining stocks
Production
Imports
Ending stocks
Disapprearence
Exports
Domestic Disappearence

Usage of F test and T test is the differenential and deciding point . while p value and hypothesis formation is also different in both these methods.

orchestra answered 3 years ago

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