Why Primary Means Choice is inferred as a better choice means that the traditional ones,Arithematic and Geometric in Mediations-From the Angle of an Empiricist(07/01/2021-Fri).

In Mediation,at least two tenets(Philosophy ~Principles) should be upheld.

These are Good Representation of the Parties involved in the issue to be tackled and also a standard reference which is acceptable to all,some universal quality and unbiased.

The Mean has the feature of representing a party but how it is calculated may make it more accurate or less as representing the GROUP.

The Arithematic and Geometric means are well known for calculating means and related Mediation.The Arthematic Mean given say a variable exyz is calculated as = (e+x+y+,z)÷4

The Addictive nature of the numerator of this mean may not include confounding variable associated with the operation and thus not too good a representation?The Addictive Nature makes the operation more like a physical change process with the result of a mixture with less inclusiveness of its constituents.The Denominator of the Arithematic Mean is a true representation ( real) of the units and gives a good standard for comparison as it eventually attains the Unit 1 after calculation of the mean .

The Arithematic Mean has a point value.

The Geometric Mean for say ,variables e,x y,z is calculated as =exyz÷Square root of 4.

The Numerator of the Geometric Mean through its multiplying effect may include confounding variables making the operation a good representation of the parties involved in Mediation?The Multiplying operation in the numerator makes the operation like a chemical change process with the product of compound.The Comstituents Variables are more committed ( Inclusiveness).The Denominator of the Geometric Mean is not a realistic representation of the Units giving the Variables.The standard is not always a Unit,varying with the number of variables.Thus issues of Acceptability of the Standard arise.

The Geometric Mean could also be described as having a point value.

The Primary Means and it's derivates for discussions shortly employs the multiplying effect of the Numerator of the Geometric Means(Good Representation) and the Realistic and Unit base of the Denominator of the Arithematic Mean (Good standadization) and more making it a better choice Mean than the traditional means?Some Features of the Primary Means Following .

SOME FEATURES OF THE PRIMARY MEANS AS INDICATED PER MY CONTRIBUTION DATED 07/01/2022 FRIDAY AND NOT 2021 FRIDAY)

Today-Sunday 09/01/2022)

The Primary Means for the scores of the variables e,x ,y,z is given as e×x×y×z÷4.The Primary Means in its conception must have at least a basic multiplying quality of the numerator of the Geometric Mean(ie at least ex for the scores of exyz variables.It may have a numerator that combines the multiplying quality of the Geometric Mean with the Addictive Numerator quality of the Arithematic Mean. Say,for the scores of the variables exyz,the numerator of the Primary Mean may be exy+z,ex+yz.The Numerator of the Primary Means should not be entirely Addictive as of the Numerator of Arithematic Mean.For example, for the scores of the variables exyz,the Primary Mean is not calculated with the Numerator of e+x+y+z.In this way,the Primary Means are band-like in representation than digital; though for some situations of multiplying and addiction in the Numerator(ex+yz),the digital aspect in the calculation of Primary Means is taken aboard.

The Denominator of the Primary Means should be a realistic representation of the Units/Categories identified in whole and not as it is for the Denominator of the Geometric Mean,where the square root of the total Units/Cattegories represents them

The Primary Means and it's derivatives take varying Value states depending on the extent of Mean determination.Unlike the Arithematic and Geometric Means which have a finality of point value,the Primary Means could be in terms of point value,area value ,volume value and their combinations which could be standardised

The capability of the Primary Means to be analysed beyond point value allow for a more in-depth and broader insight on how the variable scores that constitute its determination contributed to it ;with its implications and ramifications.The Myriads of Probable Means that could be calculated given a context-situation and the Maneuverabilty of choosing and also calculating an accurate representative of the groups issue is markedly improved for the Competent Assessor.The Conception of Primary Means and it derivatives Secondary and Composite Means,types of Means like pure and hybrid means are encompassing. These derivatives and Mean types are dealt with elsewhere. Given the afore examination on Primary Means,could one not infer that Primary Means Choice is a better choice means for Mediation than the traditional ones,Arithematic and Geometric Means?

In the concluding stage of the ongoing discourse, HOW the value state of the Primary Means( point,area and volumetric) are calculated are outlined and a Practical Context~,Situation ,Actuality where the conceptions of the primary means could be applied and tested is mentioned for further scrutiny and development; or OTHERWISE of the Inference that the Primary Means and it's derivatives are a better option than the traditional Means, Arithematic and Geometric Means in Mediation.

The Concluding Part follows soon.

Concluding the contribution on the topic of Primary Mean and Derivatives being a better choice Mean than the traditional means,Arithematic and Geometric Means in .Mediation-Today,Monday 10/01/2022

The Primary Means could be calculated to give an intermediate value of point Mean,an area Mean,volume Mean or combinations of of these.However,the finality of the Primary Means outcome that allows a fair comparison with the Arithematic and Geometric Means is a value with the nth power=1.This final value is known as the Total standardised point Mean.It is noteworthy that the intermediary Mean values-Linear,area and volumetric assist in the analysis of the contributions made by the scores of variables in the mean determination.

Given the scores of the variables exyz,the Primary Mean=e×x×y×z÷4

Intermediate Value of area Mean= (ex×yz)÷4

Volume Mean could be expressed as (e×x×y)z÷4 ,with the z ÷4 giving a point Mean Vulue and the overall assessment being a combination of volume Mean and point Mean Value .

The standardised point Mean for the Volume Mean Value= the cube root of the volume mean((e×x×y)

The Total Standardised Point Mean = Square root of the product of the standardised Volume Mean and Point Mean z÷4.

Note that the final Outcome of the Primary Mean is the Total Standardised Point Mean having a value with the nth power =1.The Standardised point Mean,not the Total Standardised point Mean, are derived from the intermediary value of the Primary Means.

For an Area Mean value by its square root and if a volume Mean Value by the cube root.

Note a combination of Standardised point Mean may lead to the total Standardised point Mean and this should always have a value with the nth=1.

The Total Standardised Point Mean of the Primary Mean is the adjudged Mean that compares considerable unbiased with the Arithematic and Geometric Means.Comparing the Total Standardised Point Mean of Primary Means obtained about variables of households , a basic Unit/Sample of Census and Society,with that of Geometric and Arithematic Mean of the variables could be used to determine whether there is any significant difference in these Mean types.It could be the basis for a quantitative assessment to confirm or not that Primary Mean Choice is a better choice Means than the traditional ones in mediation( in the context of households ~societal Challenges)

By Households,one refers to the people eating from the same cooking pot and the basic Sample size for typical Population Census.A Household is made up of the following:

1.Husband (e)

2.Wife ( x)

3.Blood-related Persons to 1,2 as in children,nephews,nieces,cousins and In-laws.(y)

4.Non Blood-Related Persons eg friend s ,Maid Servants,Garden Boy(s) (z)

Noteworthy is that counfounding variables are likely to operate in this typical complete basic household with even discrete variables. The reasons include the blood-related/genetic factors that are likely to operate in categories 1,2 and 3 also for 4 ,the sociocultural values and systems that are pervasive and moreover, have their full effect more within households than elsewhere.

The Challenge to interested Resesrchers.

Choose as many variables and determine their respective means( Toat Standardised Point Mean( Primary Mean Conception),Arithenatic Means and Geometric Means for as many Households-Census Data.

Compare the means on these variables and determine whether there are significant differences in the three Means and if significant.

The assumption are that the household structures have inherent confounding variables in respect of the variables to be measured.The Arithematic and Geometric Means do not sufficiently measure these counfoudig variables whilst the Total Sta dardized point Mean of the primary Mean Conception does

PS:,The probable Variables for mean determination include;

1.Age (e)

2.Heighr(x)

3.Weight(y) and

4.Surname types(z).

1 to 3 having discrete( Digitlal) variable quality and 4 band-like.

Note also that exyz in this write-up does also take up the designation of the value of Score where e is for the husband score,x for the wife,y for Blood-Related Perdons of the Household and z for Non Blood-Related Persons

Tue-11/01/2022.