2.1. Data Envelopment Analysis (DEA) and Project Efficiency
The data envelopment analysis (DEA), developed by Charnes et al. [
12], derives the efficiency frontier by simultaneously considering multiple input and output factors. Then, it measures the efficiency of a DMU compared with other DMUs [
13,
14,
15]. The DMUs represent the organizational units to be evaluated, such as public institutions, schools, hospitals, and so on. In this study, PMOs correspond to decision-making units [
16]. The DEA has various models according to the purposes of studies. The CCR (Charnes, Cooper, and Rhodes) model and the BCC (Banker, Charnes, and Cooper) model are representative [
12,
17]. The CCR model is also called as the CRS model because it assumes constant returns to scale. Meanwhile, the BCC model is also called as the VRS model because it assumes variable returns to scale [
16,
18]. In the DEA, according to the characteristics of the DMUs to be analyzed and the purpose of the analysis, the CCR model and the BCC model are classified into the input-oriented model and the output-oriented model. In general, the efficiency in input-oriented model can be improved by reducing the input value while keeping the output values constant. Meanwhile, in the case of output-oriented model, the efficiency can be enhanced as the output value increases while the input values remain constant [
16]. Let us assume that the number of DMUs is K and, for each
DMUk (
k = 1, 2, 3, …,
K), there are M input factors
xm (
m = 1, 2, 3, …,
M) and N output factors
yn (
n = 1, 2, 3, …,
N). Then, the efficiency of kth DMU can be obtained through the below output-oriented CCR and BCC models.
The output-oriented CCR model can be solved as follows.
The following output-oriented BCC model has a constraint of the sum of λ in (1) to have a convexity constraint.
The scale efficiency (SE) can be obtained by dividing the efficiency value obtained from the CCR model by that of the BCC model. If the scale efficiency of
kth DMU equals to 1, it means that it is efficient in scale, and if less than 1, it is considered as inefficient in scale. In cases where a DMU is not efficient from the scale point of view, the state of scale economy can be identified [
16,
19].
Since traditional DEA has a deterministic nature and is unable to account for measurement errors and variable fluctuation, we take into the bootstrap procedure proposed by Simar and Wilson [
20] as follows.
- Step 1.
Compute for all DMUs using DEA.
- Step 2.
Use those M (M < N) DMUs, for which holds, in a truncated regression (left-truncation at 1) of on to obtain coefficient estimates and an estimate for variance parameter by maximum likelihood.
- Step 3.
Loop over the following Steps 3.1–3.4 K times, in order to obtain sets of K bootstrap estimates for each DMU , with .
- 3.1
For each DMU , draw an artificial error from the truncated N(0, ) distribution with left-truncation at .
- 3.2
Calculate artificial efficiency scores as for each DMU .
- 3.3
Generate artificial DMUs with input quantities and output quantities .
- 3.4
Use the N artificial DMUs, generated in Step 3.3, as reference set in a DEA that yields for each original DMU .
- Step 4.
For each DMU , calculate a bias corrected efficiency score item as .
- Step 5.
Run a truncated regression (left-truncation at 1) of on to obtain coefficient estimates and an estimate for variance parameter by maximum likelihood.
- Step 6.
Loop over the following steps 6.1–6.3 M times, in order to obtain a set of M bootstrap estimates (), with .
- 6.1
For each DMU , draw an artificial error from the truncated N(0, ) distribution with left-truncation at .
- 6.2
Calculate artificial efficiency scores as for each DMU .
- 6.3
Run a truncated regression (left-truncation at 1) of on to obtain bootstrap estimates and by maximum likelihood.
- Step 7.
Calculate confidence intervals and standard errors for and from the bootstrap distribution and .
On the other hand, Shenhar et al. [
21] addressed that project efficiency could be assessed by project schedule, budget, and technical goals. They also indicated that efficiency has a largest role in project success and also has an effect on the customers and their satisfaction. Unlike Shenhar et al. [
21], Serrador and Turner [
22] used key stakeholders’ satisfaction for the measure of project success. They studied the relationship between project efficiency and overall project success. They empirically showed that efficiency is important to overall project success. Sundqvist et al. [
23] conducted literature review and interviews with Swedish project managers from construction companies on the concepts and effects of efficiency and effectiveness in project-based organizations. They showed that there was no clear differentiation between two terms. However, the results indicated that efficiency and effectiveness would enhance the project performance.
Vitner et al. [
24] applied DEA methodology to compare project efficiency in a multi-project environment. According to them, in a multi-project environment, each project is a DMU having its own inputs and outputs. Similarly, in our case, each PMO is a DMU. They suggested three-stage methodology to reduce total number of inputs and outputs to increase DEA’s discriminatory power in the case of relatively small number of DMUs. To reduce the number of variables, they used similarity coefficient based on the correlation results. They grouped two variables into one if their correlation is greater than or equals to 0.8. Fu and Ou [
25] proposed a new measurement method of combining principal component analysis (PCA) and DEA to provide a useful reference for BOE project evaluation and performance improvement, and facilitate a more effective allocation of national energy resources. In prior studies using DEA, the method of integration of DEA with PCA provides more stable results compared to traditional methods since PCA decomposes a number of correlated variables within a given data set into a number of uncorrelated principal components. In our case, we have enough DMUs to meet the DEA rule of thumb. In addition, we observed from the correlation matrix that none of them were high enough 0.8. Thus, we included all the individual input variables without aggregating these inputs into a fewer number of variables. Swink et al. [
26] conducted analyses of relationships between new product development (NPD) practices, levels of NPD project efficiency, and market-based project success. To get project efficiency, DEA methodology with multiple dimensions of NPD project performances were used. The DEA model considered development cost and product cost as input resources and product quality and project lead time as outputs. They also proposed and tested the theory of performance tradeoffs in NPD project performance. For the analysis, data was collected by the survey. The measures assessed project variables using a combination of seven-point Likert type scales and ratio scale response formats. In our case, 20 performance measures provide multiple assessment of the five primary roles of PMO suggested by Hill [
27].
2.2. Project Management Office (PMO)
As corporate requirements for changing the business environment have increased, PMOs have also changed to take on various roles and broader scope. Implementation of a PMO represents it has an official methodology of project management [
28]. Thus, the PMO is defined as an organization that standardizes the project management system at the enterprise level, accumulates project experience, provides the necessary knowledge and opportunities for education and training, thereby improving the efficiency of project management [
29]. Berry and Parasuraman defined service quality as the ability of the organization [
30]. This concept can also be applied to a PMO in terms of project quality. Furthermore, since the quality management can enhance business performance [
31], the project quality management by the PMO is getting more important. Also, the organizational change is deemed a trigger event that leads to the organizational development [
32], and the awareness for the need for change in management has been raised [
33]. In this point of view, the PMO function has a vital role to play in helping organizations adopt and integrate change management with project management [
33]. Bates suggested that it could be effective when the scope of the PMO should be extended to changing the organization as well as the assessment of the project risk and performance [
28].
Meanwhile, Kwak and Dai also defined that the PMO is an independent organization which has full-time employees, provides and supports administrative and technical services, training and education, and mentoring services [
34]. Crawford addressed that PMOs’ roles include not only supporting and controlling projects but also establishing project strategy and goals [
35]. Besides, Desouza and Evaristo classified the PMO functions into three levels, the strategic, operational, and tactical, in their case study on PMO archetype [
36].
On the other hand, Hill [
27] categorized the PMO functions into five major domains, practice management, infrastructure management, resource integration, technical support, and business alignment, based on many previous studies, and presented the PMO functions the most specifically and comprehensively.
Although the PMO has provided various definitions for each researcher, it can be seen that the role of the PMO evolves from the management of a single project in a department unit to the management of a whole project portfolio at an enterprise level as a centralized organization. In particular, it aims to improve the contribution of the projects in achieving corporate’s business performance rather than to manage the schedule and budget efficient management of a single project.