Mathematical Modelling of CPV
Mathematical Modelling of CPV
6 School of Engineering & the Built Environment, Edinburgh Napier University, Merchiston Campus,
Abstract: Electricity‐saving strategies are an essential solution to overcoming increasing global CO2
emission and electricity consumption problems; therefore, the determinant factors of electricity
consumption in households need to be assessed. Most previous studies were conducted in
developed countries of subtropical regions that had different household characteristic factors from
those in developing countries of tropical regions. A field survey was conducted on electricity
consumption for Malaysian households to investigate the factors affecting electricity consumption
Citation: Sena, B.; Zaki, S.A.; Rijal, that focused on technology perspective (building and appliance characteristics) and socio‐economic
H.B.; Ardila‐Rey, J.A.; Yusoff, N.M.; perspective (socio‐demographics and occupant behaviour). To analyse the determinant factors of
Yakub, F.; Ridwan, M.K.; electricity consumption, direct and indirect questionnaire surveys were conducted from November
Muhammad‐Sukki, F. Determinant 2017 to January 2018 among 214 university students. Direct questionnaire surveys were performed
Factors of Electricity Consumption for in order to obtain general information that is easily answered by respondents. On the other hand,
a Malaysian Household based on a some questions such as electricity consumption and detailed information of appliances must be
Field Survey. Sustainability 2021, 13, confirmed by the respondents’ parents or other household members through an indirect
818. https://doi.org/10.3390/su13020818
questionnaire survey. The results from multiple linear regression analyses of the survey responses
showed that appliance characteristic factors were the main variables influencing electricity
Received: 9 December 2020
consumption and house characteristics were the least significant. Specifically, air conditioners,
Accepted: 11 January 2021
fluorescent lamps, and flat‐screen TVs emerged as appliances with the most significant effect on
Published: 15 January 2021
electricity consumption. Occupant behaviour factors had a more significant influence than socio‐
Publisher’s Note: MDPI stays demographic factors. The findings in this study can be used by policymakers to develop electricity‐
neutral with regard to jurisdictional saving strategies in Malaysia.
claims in published maps and
institutional affiliations. Keywords: appliance characteristic; determinant factors; electricity consumption; house
characteristic; occupant behaviour; socio‐demographic
sample of 17 households, obtained different results. They found that dwellings with larger
floor areas tended to use less electricity than those with smaller floor areas.
Some studies in temperate regions consider additional retrofits such as glazing
windows [25,26] and house insulation [11,25,26] as significant factors affecting electricity
consumption, as these help with extreme temperature management in hot and cold
seasons without consuming electricity. Other studies in hot and humid regions have
confirmed that floor area [12,18] and the number of rooms [12] are significant factors
affecting electricity consumption.
France. In contrast, Kubota et al. [19] conducted a survey with 338 respondents on terrace
houses in Malaysia and found that occupants did not consider outdoor temperatures
while using air conditioning appliances. This was because Malaysia has hot and humid
weather conditions regularly and outdoor temperatures remain almost constant
throughout the year. Ranjbar et al. [31], who investigated 10 dwellings of low‐cost
apartments in Malaysia, obtained similar results; they confirmed a weak correlation
between outdoor air temperature and air conditioning usage.
Jaffar et al. [28] studied energy demand for residential buildings in Kuwait using 250
households and they found that most occupants set the temperature of air conditioning
between 20 °C and 22 °C. In other studies, Kubota et al. [19] reported that occupants in
Malaysia set the temperature between 20 °C and 21 °C based on a survey from 213
respondents. Hisham et al. [32] who performed field measurements on 19 dwellings
consisting of low‐cost apartments and one terraced house in Malaysia, found that the
temperature setting of air conditioning ranged from 16 °C to 28 °C.
Kim [5] discovered that the average operating time for air conditioners was 0.32
h/day in 2250 households in Korea. In contrast, Kubota et al. [19] found that the average
operating times for air conditioning appliances in Malaysia was 6 h/day. Zaki et al. [33]
studied 38 dwellings in Kuala Lumpur and found that the average operating times of air
conditioning appliances mostly ranged from 1 h/day to 6 h/day. Similarly, Aqilah et al.
[34] reported that the average operating times of air conditioning appliances in Kuala
Lumpur was almost 3 h/day.
(24.3%), Kuala Lumpur (14.5%), and Johor (11.2%). The number of buildings per state
based on the collected data is shown in Table 1.
Figure 2 shows the daily average, maximum, and minimum outdoor temperatures
during the field survey. This information was obtained from the weather station in Sultan
Abdul Aziz Shah Airport, Selangor, Malaysia [35]. The outdoor temperature might be a
little different for other locations. However, Malaysia experiences a hot and humid climate
throughout the year therefore the monthly outdoor temperature means is almost constant
in most of the towns [19]. December 2017 had the highest average outdoor temperature
(28.4 °C) and January 2018 had the lowest average outdoor temperature (27.2 °C). The
average outdoor temperature for all days was 27.8 °C with a standard deviation of 1.2 °C.
Figure 1. Location and percentage of surveyed houses in Malaysia. Image from [36].
Sustainability 2021, 13, 818 6 of 30
Figure 2. Outdoor daily temperature from November 2017 to January 2018 [35].
among observed variables. The measures of variability in one variable that is accounted
for by other variables or so‐called p‐values range from 0 to 1. The higher p‐value, the lower
significance of independent variable to the dependent variable and otherwise, the lower
p‐value (usually below 0.05 or 0.01), the more significance of independent variable to a
dependent variable [39]. The factors that had a significance (p ≤ 0.05) and a strong
correlation with electricity consumption were then used as the inputs in the multiple
linear regression analysis.
Multiple linear regression (MLR) was performed to assess the strength of the
relationship among datasets of independent variables or so‐called explanatory variables
and single output datasets of dependent variables. The method was used to investigate
determinant factors affecting electricity consumption because the variance of the
dependent variable, which was electricity consumption, can be explained by a set of
independent variables which were household characteristic factors as confirmed by
[18,22]. Equation (1) shows the general multiple linear regression model.
𝑦 𝑎 𝑥 𝑎 𝑥 ⋯ 𝑎 𝑥 𝑏 (1)
where x1 to xn are explanatory variables which consist of household characteristic factors
such as socio‐demographic, house characteristics, appliance characteristics, and occupant
behaviour. ai to an are regression coefficients, b is a constant regression coefficient, and y is
the electricity consumption. Similar to MLR, weighted regression is also performed to
investigate the relationship among variables by considering the amount of data in each
bin. There are four main parameters in the regression that are considered to interpret the
results such as regression coefficient (C), beta (β), p‐value and coefficient determination
(R2). The regression coefficient is used to measure how much the impact of explanatory
variables on the increase or decrease in electricity consumption. The higher coefficient,
the greater the number of electricity consumption or otherwise. Beta measures the
influence of the variables on the variance of electricity consumption. p‐value explains the
significance of the variables to the overall model. Coefficient determination (R2) measures
the variability of the output variable accounted for by the explanatory variables. Beta, p‐
value and R2 have a similar range from 0 to 1 which means that the higher those
parameters to 1, the stronger the influence, significance and variance of those parameters
to the model, respectively.
IBM SPSS version 23 was used as statistical software to analyze the dataset which
offered four methods of developing multiple linear regression: enter, forward, backward,
and stepwise. The stepwise method was selected as the preferred method because this
method generated multiple linear regression without a multicollinearity problem [39].
30
25
Percentage (%)
20
15
10
0
1 2 3 4 5 6 7
Number of people of living (Person)
Table 3. Pearson correlation between household characteristic factors and electricity consumption.
Household Characteristic Factors N r p
Monthly income 214 0.36 <0.001
Number of people in the household 214 0.22 0.001
Number of working people in the household 214 0.18 0.005
Education level of the household head 214 0.30 <0.001
Education level of the mother or other persons 214 0.14 0.022
Number of storeys 214 0.16 0.009
Total floor area 214 0.14 0.023
Number of rooms 214 0.31 <0.001
Number of windows 214 0.18 0.004
Number of fluorescent lamps 192 0.31 <0.001
Number of LED lamps 70 0.12 0.036
Number of lamps (all) 214 0.40 <0.001
Glazing ratio of north‐facing window(s) 214 0.16 0.010
Number of TV energy stars 114 0.20 0.002
Number of AC energy stars 97 0.26 <0.001
Number of kitchen hooks 99 0.13 0.030
Number of microwave ovens 150 0.16 0.009
Number of game consoles 65 0.19 0.004
Number of satellite TVs 157 0.23 0.001
Age of AC 147 0.32 <0.001
Power rating of AC 147 0.27 <0.001
Number of chargers—tablet 97 0.30 <0.001
Number of routers 133 0.29 <0.001
Number of hair dryers 86 0.24 0.001
Number of chargers—smartphone 213 0.27 <0.001
Number of water pumps 30 0.18 0.004
Age of refrigerator 214 0.20 0.002
Cubic capacity of refrigerator 214 0.19 0.003
Number of vacuum cleaners 168 0.30 <0.001
Sustainability 2021, 13, 818 11 of 30
45
40
35
Percentage (%)
30
25
20
15
10
5
0
< 16 16 ‐ 19 19 ‐ 22 22 ‐ 25 > 25
Set temperature of AC (℃)
Figure 8 shows the correlation between the set temperature of air conditioners and
electricity consumption for raw data and binned data at 1 °C intervals. Raw data refer to
the observed data which were obtained in field survey and binned data proceed the
observed data into some group number of bins. Many researchers such as de Dear et al.
Sustainability 2021, 13, 818 12 of 30
[41] and Gautam et al. [42] used the binned data to increase the reliability of the regression
model (R2) but the regression coefficient would be similar for both data.
The binned data were analyzed using weighted regression analysis in order to
investigate the trends in scattered plots of raw data. The coefficient of determination of
binned data was much higher compared to raw data as shown in Equations (2) and (3) for
the set temperature of air conditioners as an explanatory variable (Ts), the number of
samples (n), coefficient of determination (R2), standard error of regression coefficient (S.E),
statistically significant value for regression coefficient (p), and electricity consumption as
dependent variable (E), respectively. The slope and constant of raw data and binned data
were similar and thus either of the equations can be used to estimate the average electricity
use. However, the raw data could be used to show the actual set temperature of air
conditioners in daily life.
Raw data:
𝐸 24.8 𝑇𝑠 1021.4 𝑛 148, 𝑅 0.056, 𝑆. 𝐸 299.1, 𝑝 0.004 (2)
Binned data:
𝐸 18.7 𝑇𝑠 876.5 𝑛 13, 𝑅 0.434, 𝑆. 𝐸 86.9, 𝑝 0.014 (3)
Setting the air conditioners temperature showed a significantly moderate correlation
with electricity consumption by binning the data. This result was similar to Santin et al.
[26] and Jaffar et al. [28]; the latter also found that setting temperatures for heater
appliances were significantly correlated.
Electricity consumption (E) (kWh)
1600 1600
Electricity consumption (E) (kWh)
1400 1400
1200 1200 R² = 0.434
1000 R2 = 0.056
1000
800 800
600 600
400 400
200 200
0 0
15 17 19 21 23 25 27 29 15 17 19 21 23 25 27 29
Set temperature of AC (Ts) (℃) Setting temperature of AC (Ts) (℃)
sample (n), coefficient of determination (R2), standard error of regression coefficient (S.E),
statistically significant value for regression coefficient (p), and electricity consumption as
dependent variable (E), respectively. The slope and constant of binned data were slightly
higher than the raw data. This might be due to the small range of outdoor temperature
which needs to consider in further studies.
Raw data:
𝐸 78.7 𝑇𝑜 2648 𝑛 214, 𝑅 0.01, 𝑆. 𝐸. 49.5, 𝑝 0.113 (4)
Binned data:
𝐸 94.6 𝑇𝑜 3092.8 𝑛 10, 𝑅 0.39, 𝑆. 𝐸. 42.1, 𝑝 0.05 (5)
Outdoor temperature showed a low correlation. This finding was contradicted to that
of Galvin et al. [43] who established that outdoor temperature affects electricity
consumption in Germany in temperate regions.
Electricity consumption (E) (kWh)
2500 2500
R² = 0.0118
1500 1500
R² = 0.39
1000 1000
500 500
0 0
26.5 27.0 27.5 28.0 28.5 29.0 29.5 26.5 27.0 27.5 28.0 28.5 29.0
Outdoor temperature (To) (℃) Outdoor temperature (To) (℃)
(a) Raw data (b) Binned data
Figure 9. Correlation between outdoor temperature vs. electricity consumption.
Table 4. Cross‐correlation analysis for household characteristic factors with respect to monthly
income.
N Monthly Income p
Number of people living 214 0.14 0.045
Education level of household head 214 0.27 <0.001
Number of rooms 214 0.32 <0.001
Number of wall mounted air
147 0.32 <0.001
conditioning
Number of lamps 214 0.34 <0.001
Number of charger laptop 152 0.29 <0.001
Usage of router on weekdays 116 0.31 <0.001
Usage of router on weekends 116 0.33 <0.001
The number of air conditioning appliances had a strong correlation with the age of
the air conditioning, the power rating of air conditioning, set temperature of air
conditioning, the number of energy star air conditioning, usage of air conditioning on
weekdays and weekends. Whilst number of air conditioning appliances had a moderate
correlation with the number of ceiling fans, number of lamps, number of energy star TVs,
and usage of the router on weekdays as shown in Table 5. The more ownership of air
conditioning appliances, the usage of air conditioning appliances was also higher, as
confirmed by Chen et al. [6].
Table 5. Cross‐correlation analysis for household characteristic factors with respect to number of
wall‐mounted air conditioning units (AC).
Cross Correlation N Number of Wall Mounted AC p
Age of AC 147 0.63 <0.001
power rating AC 147 0.58 <0.001
Set temperature of AC 147 0.65 <0.001
Number of energy star AC 147 0.37 <0.001
Number of ceiling fans 203 0.39 <0.001
Number of lamps 214 0.37 <0.001
Number of energy star TV 114 0.17 0.02
Usage of AC on weekdays 147 0.60 <0.001
Usage of AC on weekends 147 0.59 <0.001
Usage of router on weekdays 116 0.32 <0.001
with the usage of air conditioning appliances on a weekday (r = −0.004, p = 0.953) and the
usage of air conditioning appliances on weekends (r = 0.02, p = 0.97) which was similar to
Chen et al. [6].
Table 6. Cross‐correlation analysis for household characteristic factors with respect to usage of air
conditioning (AC) on weekdays.
Cross Correlation N Usage of AC on Weekdays p
Usage of AC on weekend 147 0.95 <0.001
Number of miscellaneous appliances 212 0.16 0.02
Usage of entertainment on weekdays 212 0.16 0.02
Usage of entertainment on weekends 211 0.15 0.02
Usage of miscellaneous appliances on weekdays 212 0.25 <0.001
Usage of electric heater on weekends 93 0.4 <0.001
Number of lamps 214 0.33 <0.001
Number of rooms 214 0.26 <0.001
Number of wall mounted AC 147 0.60 <0.001
Table 7. Cross‐correlation analysis for household characteristic factors with respect to number of
rooms.
Cross Correlation N Number of Rooms p
Total floor space 147 0.30 <0.001
Number of people living 212 0.26 <0.001
Number of lamps 211 0.31 <0.001
Number of wall mounted air conditioning 147 0.30 <0.001
Monthly income 214 0.32 <0.001
Kim [5] found that the type of cooling such as fan and air conditioners had a
significant correlation with the education level of household head, monthly income,
number of people living, and total floor area. The current study found that the correlation
between the number of stand fans is insignificant for the education level of the household
head, and the number of people living, as shown in Table 8. Number of stand fans also
found a negative correlation with monthly income, which means that the more ownership
of the stand fan, the less monthly income. On the other side, the number of stand fans had
a significant correlation with the total floor area, which was similar to Kim [5].
Interestingly, the current study confirmed that the number of ceiling fans had similar
characteristics as established by Kim [5] except for the number of people living, which had
an insignificant correlation.
Table 8. Cross‐correlation analysis for household characteristic factors with respect to number of
stand fans.
Table 9. Cross‐correlation analysis for household characteristic factors with respect to monthly
income.
Table 10. Determinant factors of electricity consumption for appliance characteristic factors.
Descriptive Statistics Regression Analysis
Variable
M D C β ε p
x1 1.9 1.8 86.9 0.54 12.19 <0.001
x2 4.2 1.5 28.5 0.15 10.9 0.009
x3 1.2 1.6 −37.8 −0.21 12.7 0.003
x4 0.1 0.3 113.9 0.14 43.7 0.010
x5 13.0 11.2 5.4 0.22 1.4 <0.001
x6 1.3 0.8 57.9 0.16 22.1 0.009
b ‐ ‐ 45.2 ‐ 49.9 0.365
Note: x1: Number of wall‐mounted ACs; x2: Number of chargers–smartphone; x3: Number of air
conditioner energy stars, x4: Number of standalone freezers; x5: Number of fluorescent lamps; x6:
Number of flat‐screen TVs; b: constant, M: mean; D: standard deviation, C: coefficient, β: beta, ε:
standard error, p: p‐value; standard error and p values are for the coefficient.
Equation (6) shows the multiple linear regression model. Here, the independent
variables (xn) denote the appliance characteristic factors and electricity consumption are
the dependent variables (y).
𝑦 86.9 𝑥 28.5 𝑥 37.8 𝑥 113.9𝑥 5.4𝑥 57.9𝑥 45.2 (6)
Table 10 shows that for each wall‐mounted air conditioner and TV, electricity
consumption increased by 86.9 kWh and 57.9 kWh, respectively when other variables
were constant. Standalone freezers accounted for 113.9 kWh each while each air
conditioner energy star reduced consumption by 37.8 kWh. Equation (6) can be used to
estimate electricity consumption for given variables. The estimated electricity saving with
the implementation energy star AC was 11.2%.
Table 11. Determinant factors of electricity consumption for socio‐demographic and appliance
characteristic factors.
Descriptive Statistics Regression Analysis
Variable
M D C β ε p
x1 1.9 1.8 82.2 0.51 12.1 <0.001
x2 4.0 1.6 27.4 0.15 9.8 0.005
x3 1.3 0.8 62.3 0.17 21.4 0.004
x4 13.0 11.2 5.1 0.20 1.4 <0.001
x5 1.2 1.6 −32.6 −0.18 12.5 0.010
x6 0.1 0.3 116.1 0.14 43.4 0.008
x7 2.1 1.0 36.7 0.13 15.9 0.022
b ‐ ‐ −16.7 ‐ 52.8 0.752
Note: x1: Number of wall‐mounted air conditioner units; x2: Number of people in household; x3:
Number of flat‐screen TVs, x4: Number of fluorescent lamps; x5: Number of air conditioner energy
stars; x6: Number of standalone freezers; x7: Education level of household head; b: constant, M:
mean; D: standard deviation, C: coefficient, β: beta, ε: standard error, p: p‐value; standard error
and p values are for the coefficient.
Equation (7) shows the multiple linear regression model for socio‐demographic and
appliance characteristic factors as explanatory variables (xn) and electricity consumption
as the predicted variable (y).
𝑦 82.2𝑥 27.4𝑥 62.3𝑥 5.1𝑥 32.6𝑥 116.1𝑥 36.7𝑥 16.7 (7)
Each wall‐mounted air conditioner accounted for 82.2 kWh of consumption, and each
additional person was linked to an additional 27.4 kWh, while other variables remained
constant. Households, where the head had a high level of education, were estimated to
increase consumption by 36.7 kWh, and each additional air conditioner energy star
decreased consumption by 32.6 kWh while other factors remained unchanged. Equation
(7) can be used to estimate electricity consumption for given variables. The estimated
electricity saving with the implementation of energy star air conditioner was 10.4%.
Table 12. Determinant factors of electricity consumption for appliance characteristics and
occupant behaviour.
Descriptive Statistics Regression Analysis
Variable
M D C β ε p
x1 1.9 1.8 108 0.67 13.5 <0.001
x2 18.3 12.4 4.9 0.22 1.4 <0.001
x3 7.5 7.7 −7.7 −0.21 2.5 0.002
x4 4.2 1.5 29.2 0.15 10.9 0.008
x5 443.6 240.2 0.16 0.14 0.1 0.012
x6 1.2 1.6 −32.3 −0.18 12.8 0.012
b ‐ ‐ 45.3 ‐ 53.9 0.402
Note: x1: Number of wall‐mounted ACs; x2: Number of chargers–smartphone; x3: Number of air
conditioner energy stars, x4: Number of standalone freezers; x5: Number of fluorescent lamps; x6:
Number of flat‐screen TVs; b: constant, M: mean; D: standard deviation, C: coefficient, β: beta, ε:
standard error, p: p‐value; standard error and p values are for the coefficient.
Sustainability 2021, 13, 818 19 of 30
Equation (8) gives the multiple linear regression model for appliance characteristic
factors and occupant behaviour as independent variables (xn) and electricity consumption
as the dependent variable (y).
𝑦 108 𝑥 4.9 𝑥 7.7 𝑥 29.2𝑥 0.16𝑥 32.3𝑥 45.3 (8)
Electricity consumption increased by 108 kWh for every wall‐mounted air
conditioner but decreased by 7.7 kWh for every additional hour of air conditioner use on
weekdays and by 32.3 kWh for each additional air conditioner energy star when other
factors were constant. Equation (8) can be used to estimate electricity consumption for
given variables. The estimated electricity saving with the implementation of an energy
star air conditioner and flat‐screen TV from the equation was 21.3%.
increase in education level. With a similar assumption, the electricity consumption would
decrease as follows: 7 kWh for the usage of air conditioner on weekdays and 32 kWh for
each additional air conditioner energy star. Equation (9) can be used to estimate electricity
consumption for given variables. The estimated electricity saving with the
implementation of usage of air conditioner on weekdays and energy star air conditioner
from the equation was 20.6%.
Equation (10) shows the multiple linear regression model for socio‐demographic,
house characteristic, and occupant behaviour factors as explanatory variables (xn) and
electricity consumption as predicted value (y).
𝑦 0.01 𝑥 43.9 𝑥 6.6 𝑥 42.2𝑥 12.6𝑥 3.9𝑥 137.5 (10)
Electricity consumption was estimated to increase by 0.01 kWh for each Ringgit
Malaysia (RM) of monthly income, while each hour of usage of a laptop charger on
weekdays resulted in an increase in consumption of 6.6 kWh and 43.9 kWh when the
education of the household head increased by one level. Each increase in the set
temperature of the air conditioner increased consumption by 3.9 kWh while it decreased
by 42.2 kWh when the rotation speed of fans was increased by one level. Equation (10)
can be used to estimate electricity consumption for given variables. The estimated
electricity saving with the implementation of a set rotation of stand fan from the equation
was 20.6%.
4. Discussion
Some factors of household characteristic factors emerged as the most significantly
correlated to electricity consumption (p < 0.001) such as monthly income (r = 0.36), number
Sustainability 2021, 13, 818 21 of 30
of lamps (all) (r = 0.40), number of air conditioning appliances (r = 0.54), and number of
miscellaneous appliances (r = 0.32). Air conditioning appliances emerged as the most
important factor which affected consumption because of all aspects of air conditioners
such as the age of air conditioner (r = 0.32), the power rating of air conditioners (r = 0.27),
and setting the temperature of the air conditioner (r = 0.27) also significantly correlated
with electricity consumption.
Only a few previous studies investigated the cross‐correlation analyses among
household characteristic factors as performed by Chen et al. [6] and Kim [5]. Monthly
income, air conditioning appliances and ownership of miscellaneous appliances emerged
as the centre of cross‐correlation analyses which almost had a significant correlation with
all household characteristic factors and electricity consumption. These findings proved
that wealthier people tend to have more appliances and consumed more electricity
consumption.
Multicollinearity is an important issue for multiple linear regression analysis which
occurs when one or more predictors have a linear relationship with other factors. The
variance inflation factor (VIF) was used as a parameter to check for the multicollinearity
problem in regression. The standard values for VIF were different in some previous
studies with a VIF of less than 10 [18,24] and less than 3.3 [16,22]. In this paper, a VIF value
of less than 3.3 was selected as a standard value. The highest VIF obtained from the
regression analysis was 2.6 which means that no multicollinearity was found among
variables.
In the first regression model, 43.4% of the variance was explained by the following:
the number of wall‐mounted air conditioner
the number of smartphone chargers
the number of air conditioner energy stars
the number of standalone freezers
the number of fluorescent lamps
the number of flat‐screen TVs.
In the second regression model, 44.5% of the variance was explained primarily from
the following:
Number of wall‐mounted air conditioner
Number of flat‐screen TVs
Number of fluorescent lamps
Number of air conditioner energy stars
Number of standalone freezers
Number of people living in the household
Education level of the household head.
while the number of smartphone chargers disappeared completely. In the third regression
model 42% of the variance was explained by the:
Number of wall‐mounted air conditioner
Total number of lamps
Usage of air conditioner on weekdays
Number of smartphone chargers
Cubic capacity of refrigerators
Number of air conditioner energy stars.
The combination of socio‐demographic, appliance characteristics and occupant
behaviour in the fourth model accounted for 46% of the variance of electricity
consumption. Similar factors to the second and third models emerged except for the
number of smartphone chargers that disappeared in the third model. The appearance of
air conditioning appliances (Beta = 0.62) in this model was the reason why this model had
the highest variance of electricity consumption among other models. All factors
contributed to the increasing in electricity consumption except that the factors of air
Sustainability 2021, 13, 818 22 of 30
conditioning appliance such as the number of air conditioning appliances, the number of
energy star air conditioner and usage of air conditioner on weekdays showed a reduction
in energy use. This anomaly may be caused by the occupancy schedule in Malaysia that
only used air conditioning appliances at night and on the weekend as confirmed by
[19,29,30].
The fifth model, which combined socio‐demographic, house characteristics, and
occupant behaviour, explained 26.7% of the variance of electricity consumption. Similar
factors from previous models also appeared in the fifth model; however, it also showed
the following as being significant:
monthly income
usage of laptop chargers on weekdays
rotation speed setting of stand fans
set temperature of air conditioners
These results showed that the combination of factors in the last (fifth) model had less
effect on the variance of electricity consumption than the combination of factors in other
models. It might be caused by the appearance of usage of charger‐laptop on weekdays
(Beta = 0.13) and the set temperature of air conditioners (Beta = 0.14) which had less
contribution to the variance of electricity consumption in the model. This finding
confirmed that the last model was not suitable to represent electricity consumption for
Malaysian households.
Some previous studies have developed similar regression models. A comparison
between previous regression models and the current model is provided in Table 15. The
current multiple linear regression model of appliance characteristics and occupant
behaviour showed better correlation than previous models because three factors such as
the number of wall‐mounted air conditioners (Beta = 0.67), total number lamps (Beta =
0.22) and usage of air conditioners on weekdays (Beta = −0.21) had a strong contribution
to the variance of electricity consumption in the current model. A similar model from Kim
[5], Huebner et al. [16], and Santin [26] had less variance of electricity consumption than
the current model because the previous model had some statistically insignificant factors.
Table 15. Comparison between current and previous multiple regression models.
people in the household, and the setting of the rotation speed of stand fans as strong and
significant factors in terms of electricity consumption. Previous studies did not specifically
ascertain the type of appliance as significant factors; for example, Tso and Yau [9] only
considered general types of fans and Bedir et al. [14] only examined general battery‐
charged types.
Current results were compared with national statistics of household characteristic
factors performed by Khazanah Research Institute in 2018 [47]. The average number of
people in the household was 4.0 persons with a standard deviation of 1.6 and the average
monthly income was RM 6955.70 with a standard deviation of RM 5770.20. Those results
were similar to national statistics in 2016 which established that the average number of
people in the household was 4.1 person and the average monthly income was RM 6958.00.
5. Conclusions
The research was intended to assess comprehensive determinant factors of electricity
consumption in Malaysian households. The data were collected from direct and indirect
questionnaire survey from 214 volunteer students. Three types of regression models, such
as single, double combined, and triple combined, were developed. Monthly income,
number of air conditioning appliances and ownership of miscellaneous appliances
emerged as factors that had a significant cross‐correlation with many household
characteristic factors. These results showed that households with higher income would
have more appliances and used more electricity.
In the single model, appliance characteristics explained 43.4% of the variance in
electricity consumption. In the double combined models, appliance characteristics
explained 44.5% of the variance when combined with socio‐demographic and 42% when
combined with occupant behaviour. Socio‐demographic factors showed a better
contribution to the variance of electricity consumption than occupant behaviour factors.
The number of air conditioners and the number of fluorescent lamps emerged as strong
and significant factors for single and double combined models. The number of people
living in the household had a stronger effect on the variability of electricity consumption
than the education level of the household head. The usage of air conditioners on weekdays
Sustainability 2021, 13, 818 24 of 30
Author Contributions: Conceptualization, B.S. and S.A.Z.; methodology, B.S.; software, B.S.;
validation, B.S., and S.A.Z.; formal analysis, B.S.; investigation, B.S.; resources, B.S., and S.A.Z.; data
curation, B.S.; writing—original draft preparation, B.S.; writing—review and editing, B.S., S.A.Z.,
H.B.R., N.M.Y., J.A.A.‐R.; F.Y.; M.K.R., and F.M.‐S.; visualization, B.S.; supervision, S.A.Z., and
N.M.Y.; project administration, B.S., and S.A.Z.; funding acquisition, S.A.Z., J.A.A.‐R. and F.M.‐S.
All authors have read and agreed to the published version of the manuscript.
Funding: This study is financially supported by the Malaysian Ministry of Education (MOE) under
the Fundamental Research Grant Scheme (Vot 5F150) and Takasago Engineering Ltd Grant (Vot
4B364) projects of Universiti Teknologi Malaysia and was partly supported by the Environment
Research and Technology Development Fund (1‐1502) of the Ministry of the Environment, Japan.
This work was supported by Agencia Nacional de Investigación y Desarrollo (ANID) under Grants
Fondecyt 1200055 and Fondef 19I10165, and the UTFSM, under Grant PI_m_19_01.
Data Availability Statement: The data presented in this study are available on request from the
corresponding author.
Acknowledgments: We wish to thank Jyukankyo Research Institute for sharing their data with us.
Conflicts of Interest: The authors declare no conflict of interest. The funders had no role in the
design of the study; in the collection, analyses, or interpretation of data; in the writing of the
manuscript, or in the decision to publish the results.
Sustainability 2021, 13, 818 25 of 30
Appendix A
Appendix B
Appendix C
Appendix D
Table A6. Cross correlation analysis for household characteristic factors with respect to monthly
income.
a b c d e f g h i j k
a 1
b 0.14 * 1
c 0.27 ** 0.13 * 1
d 0.32 ** 0.26 ** 0.29 ** 1
e 0.32 ** 0.04 0.22 ** 0.30 ** 1
f 0.33 ** 0.07 0.24 ** 0.31 ** 0.37 ** 1
g 0.37 ** 0.13 * 0.30 ** 0.56 ** 0.37 ** 0.42 ** 1
h 0.40 ** 0.21 ** 0.29 ** 0.32 ** 0.20 ** 0.35 ** 0.30 ** 1
i 0.31 ** 0.08 0.26 ** 0.26 ** 0.24 ** 0.68 ** 0.34 ** 0.27 ** 1
j 0.31 ** −0.03 0.13 * 0.14 * 0.32 ** 0.27 ** 0.21 ** 0.23 ** 0.18 ** 1
k 0.33 ** −0.06 0.13 * 0.14 * 0.31 ** 0.23 ** 0.21 ** 0.24 ** 0.16 * 0.94 ** 1
Note: * Correlation is significant at the 0.05 level, ** correlation is significant at the 0.01 level, a:
monthly income, b: number of people living, c: education level of household head, d: number of
rooms, e: number of wall mounted air conditioner, f: number of miscellaneous appliances, g:
number of lamps (all), h: number of charger laptop, i: number of vacuum cleaners, j: usage of the
router on weekdays, k: usage of router on weekends.
Sustainability 2021, 13, 818 28 of 30
Appendix E
Table A7. Cross correlation analysis for household characteristic factors with respect to number of
air conditioning.
a b c d e F g h i j k l
a 1
b 0.63 ** 1
c 0.58 ** 0.73 ** 1
d 0.65 ** 0.86 ** 0.70 ** 1
e 0.66 ** 0.42 ** 0.40 ** 0.45 ** 1
f 0.39 ** 0.32 ** 0.29 ** 0.23 ** 0.24 ** 1
g 0.39 ** 0.22 ** 0.22 ** 0.21 ** 0.23 ** 0.25 ** 1
h 0.37 ** 0.24 ** 0.27 ** 0.23 ** 0.20 ** 0.33 ** 0.28 ** 1
i 0.31 ** 0.18 ** 0.15 * 0.17 ** 0.56 ** 0.19 ** 0.42 ** 0.1 1
j 0.60 ** 0.57 ** 0.47 ** 0.59 ** 0.40 ** 0.23 ** 0.24 ** 0.34 ** 0.17 ** 1
k 0.59 ** 0.57 ** 0.47 ** 0.59 ** 0.39 ** 0.23 ** 0.21 ** 0.36 ** 0.17 ** 0.95 ** 1
l 0.32 ** 0.19 ** 0.16 ** 0.19 ** 0.21 ** 0.27 ** 0.26 ** 0.21 ** 0.21 ** 0.07 0.08 1
Note: * Correlation is significant at the 0.05 level, ** correlation is significant at the 0.01 level, a:
number of air conditioner, b: age of air conditioner, c: power rating air conditioner, d: set
temperature of air conditioner, e: number of energy star air conditioner, f: number of ceiling fans,
g: number of flat‐screen TV, h: number of lamps (all), i: number of energy star TV, j: usage of air
conditioner on weekdays, k: usage of air conditioner on weekends, l: usage of the router on
weekdays.
Appendix F
Table A8. Cross correlation analysis for household characteristic factors with respect to usage of
air conditioning.
A b c d e f g H i j k l m n o
A 1
B 0.95 ** 1
C 0.33 ** 0.34 ** 1
D 0.16 * 0.13 * 0.27 ** 1
E 0.15 * 0.14 * 0.25 ** 0.84 ** 1
F 0.25 ** 0.23 ** 0.43 ** 0.43 ** 0.39 ** 1
G 0.4 ** 0.40 ** 0.47 ** 0.22 ** 0.21 ** 0.57 ** 1
H 0.13 * 0.16 ** 0.25 ** 0.13 * 0.19 ** 0.14 * 0.12 * 1
I 0.34 ** 0.36 ** 0.42 ** 0.24 ** 0.25 ** 0.32 ** 0.21 ** 0.27 ** 1
J 0.26 ** 0.28 ** 0.31 ** 0.25 ** 0.24 ** 0.20 ** 0.18 ** 0.30 ** 0.56 ** 1
K −0.004 0.002 0.07 0.18 ** 0.14 * 0.16 ** 0.12 −0.01 0.13 * 0.26 ** 1
L 0.27 ** 0.32 ** 0.22 ** 0.18 ** 0.17 ** 0.13 * 0.09 0.21 ** 0.52 ** 0.44 ** 0.07 1
M 0.16 ** 0.16 ** 0.35 ** 0.23 ** 0.26 ** 0.15 * 0.09 0.28 ** 0.3 ** 0.32 ** 0.21 ** 0.25 ** 1
N 0.60 ** 0.59 ** 0.37 ** 0.19 ** 0.14 * 0.21 ** 0.32 ** 0.21 ** 0.37 ** 0.3 ** 0.04 0.2 ** 0.2 ** 1
o 0.2 ** 0.19 ** 0.26 ** 0.2 ** 0.24 ** 0.27 ** 0.14 * 0.09 0.49 ** 0.3 ** 0.09 0.31 ** 0.24 ** 0.17 ** 1
Note: * Correlation is significant at the 0.05 level, ** correlation is significant at the 0.01 level, a:
usage of air conditioner on weekdays, b: usage of air conditioner on weekends, c: number of
miscellaneous appliances, d: usage of entertainment on weekdays, e: usage of entertainment on
weekends, f: usage of miscellaneous appliances on weekdays, g: usage of electric heater on
weekends, h: total floor space, i: number of lamps (all), j: number of rooms, k: number of people
living, l: number of windows, m: number of charger laptops, n: number of air conditioner, o:
number of LED lamps.
Sustainability 2021, 13, 818 29 of 30
Appendix G
Table A9. Cross correlation analysis for household characteristic factors with respect to number of
stand fan.
a b C d e f
A 1
B −0.38 ** 1
C −0.08 0.25 ** 1
D 0.07 0.08 0.13 * 1
E −0.17 ** 0.26 ** 0.27 ** 0.32 ** 1
F 0.15 * 0.16 ** 0.15 * 0.16 ** 0.19 ** 1
Note: * Correlation is significant at the 0.05 level, ** correlation is significant at the 0.01 level, a:
number of stand fans, b: number of ceiling fans, c: education level of household head, d: number
of people living, e: monthly income, f: total floor area.
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