According to the PMBOKĀ® Guide, specifically within the Monitor and Control Project Work and Control Costs processes, Trend Analysis is the analytical technique used to examine project performance over time to determine if it is improving or deteriorating.
Mechanism: Trend Analysis uses mathematical models to forecast future outcomes based on historical results. It looks at performance data in a chronological sequence to identify patterns, such as a consistent slip in the schedule or a steady increase in cost variances.
Purpose: The primary goal is to determine the " trend " of the project ' s performance. By understanding whether performance is getting better or worse, the project manager can implement proactive corrective or preventive actions before a minor variance becomes a major issue.
Application in EVM: In Earned Value Management, trend analysis is often used to calculate the Estimate at Completion (EAC), which predicts the final cost of the project based on the current spending trends.
Analysis of other choices:
Choice A (Control chart): While a control chart tracks data over time, its primary purpose is to determine if a process is " in control " or stable within defined specification limits (typically used in Quality Management), rather than simply tracking if general project performance is improving.
Choice B (Earned value): This is a broad methodology that uses a suite of metrics (CPI, SPI, CV, SV) to measure project performance at a specific point in time. While you can perform trend analysis on earned value data, " Earned Value " itself is the data set, not the specific analysis technique for time-based improvement.
Choice C (Variance): Variance analysis focuses on the difference between the baseline and the actual performance (e.g., " We are US$5,000 over budget " ). It tells you how much you are off-track right now, but it doesn ' t inherently describe the direction of performance over a period of time.