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Halstead wanted to estimate how much time (e ort) was needed to implement this algorithm. He used a notion of elementary mental discriminations (emd). E V=L The units are elementary mental discriminations (emd). Halstead s e ort is not monotonic in other words, there are programs such that if you add statements, the calculated e ort decreases.
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Encoding n di erent items would require at a minimum log2 n bits for each item. To encode a sequence of N, such items would require N log2 n.
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Time, T
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Next, Halstead wanted to estimate the time necessary to implement the algorithm. He used some work developed by a psychologist in the 1950s, John Stroud. Stroud had measured how fast a subject could view items passed rapidly in front of his face. S is the Stroud number (emd/sec) taken from those experiments. Halstead used 18 emd/sec as the value of S. T E=S
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HENRY KAFURA INFORMATION FLOW
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Sallie Henry and Dennis Kafura developed a metric to measure the intermodule complexity of source code. The complexity is based on the ow of information into and out of a module. For each module, a count is made of all the information ows into the module, ini, and all the information ows out of the module, outi. These information ows include parameter passing, global variables, and inputs and outputs. They also use a measure of the size of each module as a multiplicative factor. LOC and complexity measures have been used as this weight. HKi weighti outi ini 2 The total measure is the sum of the HKi from each module.
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EXAMPLE 5.14
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Calculate the HK information flow metrics from the following information. Assume the weight of each module is 1.
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mod # ini outi
a 4 3
b 3 3
c 1 4
d 5 3
e 2 4
f 5 4
g 6 2
h 1 6
mod HKi
a 144
b 81
c 16
d 225
e 64
f 400
g 144
h 36
HK for the whole program will be 1110.
CHAPTER 5 Software Metrics
Productivity
Process Metrics
Productivity is one of the basic process metrics. It is calculated by dividing the total delivered source lines by the programmer-days attributed to the project. The units are normally LOC/programmer-day. In many projects in the 1960s the productivity was 1 LOC/programmer-day. In large projects, the typical productivity will range from 2 to 20 LOC/programmer-day. In small, individual projects, the productivity can be much higher.
EXAMPLE 5.15
The project totaled 100 KLOC. Twenty programmers worked on the project for a year. This year included the whole effort for the requirements, design, implementation, testing, and delivery phases. Assume that there are about 240 workdays in a year (20 days a month for 12 months, no vacations). The productivity is 100,000 LOC / 20 240 days = 20.8 LOC/programmer-day.
The GQM Approach
Vic Basili and Dieter Rombach developed this approach at the University of Maryland. GQM stands for goals, questions, and metrics. The idea is to rst identify the goals of the approach. Next, questions are developed related to these goals. Finally, metrics are developed to measure the attributes related to the questions.
EXAMPLE 5.16
Use the GQM approach for the problem of customer satisfaction. Goal Customer satisfaction Questions Are customers dissatisfied when problems are found Metric Number of customer defect reports
Review Questions
1. Explain why the height example satis es the criteria for valid metrics. 2. A study of grade school children found a high correlation between shoe size and reading ability. Does this mean that shoe size is a good measure of intelligence
Software Metrics
3. Explain why money is a ratio scale measure and not just an interval scale. 4. Explain why GPA is not sound by measurement theory. 5. Why is complexity not readily measurable 6. What is the advantage of having a partial order on the empirical relation system 7. Why is the number of decisions plus 1 an important method for calculating McCabe s cyclomatic number 8. Why is monotonicity an important characteristic of a size or e ort metric such as Halstead s e ort metric
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