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 TRANSFORMASI OLAH DATA ORDINAL MENJADI INTERVAL
Data yang dikumpulkan mahasiwa ketika akan membuat tugas akhir, selain data sekunder diantaranya adalah data primer. Data sekunder adalah data yang diperoleh dari catatan-catatan atau informasi tertulis dari perusahaan, serta data-data lain yang terdokumentasi dengan baik dan valid. Sedangkan data primer adalah data yang direspon langsung oleh responden berdasarkan wawancara ataupun daftar pertanyaan yang dirancang, disusun, dan disajikan dalam bentuk skala, baik nominal, ordinal, interval maupun ratio oleh mahasiswa ketika membutuhkan data demi kepentingan penelitian.

Teknik pengumpulan data seperti ini lazim digunakan karena selain bisa langsung menentukan skala pengukuranya, akan tetapi juga bisa melengkapi hasil wawancara yang dilakukan dengan responden.

Skala pengukuran yang dibuat oleh mahasiswa sebaiknya dibuat sedemikian rupa, mengikuti kaidah, sehingga akan memudahkan pemilihan teknik analisis yang akan digunakan ketika pengumpulan datanya sudah selesai.

Catatan: Artikel ini membahas bagaimana transformasi dari data ordinal ke interval, sedangkan untuk transformasi data dalam keperluan untuk memenuhi asumsi klasik, baca artikel kami yang berjudul "Transformasi Data"

Dalam studi empiris, misalnya saja mahasiswa ingin menggunakan statistika parametrik dengan analisis regresi untuk menganalisis dan mengkaji masalah-masalah penelitian. Pemilihan analisis model ini ini hanya lazim digunakan bila skala pengukuran yang yang dilakukan adalah minimal interval. Sedangkan teknik pengumpulan data yang dilakukan oleh mahasiswa sudah dilakukan dengan menggunakan skala pengukuran nominal (atau ordinal).

Menghadapi situasi demikian, salah satu cara yang dilakukan adalah menaikkan tingkat pengukuran skalanya dari ordinal menjadi interval. Melakukan manipulasi data dengan cara menaikkan skala dari ordinal menjadi interval ini, selain bertujuan untuk tidak melanggar kelaziman, juga untuk mengubah agar syarat distribusi normal bisa dipenuhi ketika menggunakan statistika parametrik.

Menurut Sambas Ali Muhidin dan Maman Abdurahman, “salah satu metode transformasi yang sering digunakan adalah metode succesive interval (MSI)”. Meskipun banyak perdebatan tentang metode ini, diharapkan pemikiran ini bisa melengkapi wacana mahasiswa ketika akan melakukan analisis data berkenaan dengan tugas-tugas kuliah.

Sebelum melanjutkan pembahasan tentang bagaimana transformasi data ordinal dilakukan, tulisan ini sedikit membahas tentang dua perbedaan pendapat tentang bagimana skor-skor yang diberikan terhadap alternatif jawaban pada skala pengukuran Likert yang sudah kita kenal. Pendapat pertama mengatakan bahwa skor 1, 2, 3, 4, dan 5 adalah data interval. Sedangkan pendapat yang kedua, menyatakan bahwa jenis skala pengukuran Likert adalah ordinal. Alasannya skala Likert merupakan Skala Interval adalah karena skala sikap merupakan dan menempatkan kedudukan sikap seseorang pada kesatuan perasaan kontinum yang berkisar dari sikap “sangat positif”, artinya mendukung terhadap suatu objek psikologis terhadap objek penelitian, dan sikap “sangat negatif”, yang tidak mendukung sama sekali terhadap objek psikologis terhadap objek penelitian.

Berkenaan dengan perbedaan pendapat terhadap skor-skor yang diberikan dalam alternatif jawaban dalam skala Likert itu, apakah termasuk dalam skala pengukuran ordinal atau data interval, berikut ini kami mneyampaikan pemikiran yang bisa dijadikan pertimbangan: Ciri spesifik yang dimiliki oleh data yang diperoleh dengan skala pengukuran ordinal, adalah bahwa, data ordinal merupakan jenis data kualitatif, bukan numerik, berupa kata-kata atau kalimat, seperti misalnya sangat setuju, kurang setuju, dan tidak setuju, jika pertanyaannya ditujukan terhadap persetujuan tentang suatu event. Atau bisa juga respon terhadap keberadaan suatu Bank “PQR” dalam suatu daerah yang bisa dimulai dari sangat tidak setuju, tidak setuju, ragu-ragu, Setuju, dan sangat setuju.

Sementara data interval adalah termasuk data kuantitatif, berbentuk numerik, berupa angka, bukan terdiri dari kata-kata, atau kalimat. Mahasiswa yang melakukan penelitian dengan menggunakan pendekatan kuantitatif, termasuk di dalamnya adalah data interval, data yang diperoleh dari hasil pengumpulan data bisa langsung diolah dengan menggunakan model statistika. Akan tetapi data yang diperoleh dengan pengukuran skala ordinal, berbentuk kata-kata, kalimat, penyataan, sebelum diolah, perlu memberikan kode numerik, atau simbol berupa angka dalam setiap jawaban.

Misalnya saja alternatif jawaban pada skala Likert, alternatif jawaban “sangat tidak setuju” diberi skor 1; “ tidak setuju diberi skor 2; “ragu-ragu” diberi skor 3; “setuju” diberi kode 4; dan “sangat setuju” diberi skor 5. angka-angka (numerik) inilah yang kemudian diolah, sehingga menghasilkan skor tertentu. Tetapi, sesuai dengan sifat dan cirinya, angka 1, 2, 3, 4, dan 5 atau skor yang sudah diperoleh tidak memberikan arti apa-apa terhadap objek yang diukur. Dengan kata lain, skor yang lebih tinggi lebih tidak berarti lebih baik dari skor yang lebih rendah. Skor 1 hanya menunjukkan sikap “sangat tidak setuju”, skor 2 menunjukkan sikap “tidak setuju, skor 3 menunjukkan sikap “ragu-ragu’, skor 4 menunjukkan sikap “setuju”, dan skor 5 menunjukkan sikap “sangat setuju”. Kita tidak bisa mengatakan bahwa skor 4 atau “setuju” dua kali lebih baik dari skor 2 atau “tidak setuju”.

Fenomena ini berbeda sekali dengan sifat/ciri yang dimiliki oleh data interval, dimana angka-angka atau skor-skor numerik yang diperoleh dari hasil pengukuran data langsung dapat dibandingkan antara satu dengan lainnya, dikurangkan, dijumlahkan, dibagi dan dikalikan. Misalnya saja penelitian yang dilakukan mahasiswa tentang suhu udara beberapa kelas, dan diperoleh data misalnya suhu ruangan kelas A 15 derajat Cls, suhu ruang kelas B 20 derajat Cls, dan suhu ruang kelas C 25 derajat Cls. Berarti bahwa suhu ruang kelas A adalah 75 % lebih dingin dari suhu ruang kelas B. Suhu ruang kelas A 60 % lebih dingin dari suhu ruang kelas C. Suhu ruang kelas A lebih dingin dari suhu ruang kelas B dan C. Atau suhu ruangan kelas B lebih panas dari suhu ruang kelas A, tetapi lebih dingin dibandingkan dengan suhu ruangan kelas C. Contoh lain misalnya prestasi mahasiswa yang diukur dengan skala indek prestasi mahasiswa.

TRANSFORMASI DATA ORDINAL MENJADI INTERVAL

Over the last five years or so, it seemed there was little that Dean G. Skelos, the majority leader of the New York Senate, would not do for his son.

He pressed a powerful real estate executive to provide commissions to his son, a 32-year-old title insurance salesman, according to a federal criminal complaint. He helped get him a job at an environmental company and employed his influence to help the company get government work. He used his office to push natural gas drilling regulations that would have increased his son’s commissions.

He even tried to direct part of a $5.4 billion state budget windfall to fund government contracts that the company was seeking. And when the company was close to securing a storm-water contract from Nassau County, the senator, through an intermediary, pressured the company to pay his son more — or risk having the senator subvert the bid.

The criminal complaint, unsealed on Monday, lays out corruption charges against Senator Skelos and his son, Adam B. Skelos, the latest scandal to seize Albany, and potentially alter its power structure.

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Preet Bharara, the United States attorney in Manhattan, discussed the case involving Dean G. Skelos and his son, Adam. Credit Eduardo Munoz/Reuters

The repeated and diverse efforts by Senator Skelos, a Long Island Republican, to use what prosecutors said was his political influence to find work, or at least income, for his son could send both men to federal prison. If they are convicted of all six charges against them, they face up to 20 years in prison for each of four of the six counts and up to 10 years for the remaining two.

Senator Kenneth P. LaValle, of Long Island, who serves as chairman of the Republican conference, emerged from a closed-door meeting Monday night to say that conference members agreed that Mr. Skelos should be benefited the “presumption of innocence,” and would stay in his leadership role.

“The leader has indicated he would like to remain as leader,” said Mr. LaValle, “and he has the support of the conference.” The case against Mr. Skelos and his son grew out of a broader inquiry into political corruption by the United States attorney for the Southern District of New York, Preet Bharara, that has already changed the face of the state capital. It is based in part, according to the six-count complaint, on conversations secretly recorded by one of two cooperating witnesses, and wiretaps on the cellphones of the senator and his son. Those recordings revealed that both men were concerned about electronic surveillance, and illustrated the son’s unsuccessful efforts to thwart it.

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Adam Skelos took to using a “burner” phone, the complaint says, and told his father he wanted them to speak through a FaceTime video call in an apparent effort to avoid detection. They also used coded language at times.

At one point, Adam Skelos was recorded telling a Senate staff member of his frustration in not being able to speak openly to his father on the phone, noting that he could not “just send smoke signals or a little pigeon” carrying a message.

The 43-page complaint, sworn out by Paul M. Takla, a special agent for the Federal Bureau of Investigation, outlines a five-year scheme to “monetize” the senator’s official position; it also lays bare the extent to which a father sought to use his position to help his son.

The charges accuse the two men of extorting payments through a real estate developer, Glenwood Management, based on Long Island, and the environmental company, AbTech Industries, in Scottsdale, Ariz., with the expectation that the money paid to Adam Skelos — nearly $220,000 in total — would influence his father’s actions.

Glenwood, one of the state’s most prolific campaign donors, had ties to AbTech through investments in the environmental firm’s parent company by Glenwood’s founding family and a senior executive.

The accusations in the complaint portray Senator Skelos as a man who, when it came to his son, was not shy about twisting arms, even in situations that might give other arm-twisters pause.

Seeking to help his son, Senator Skelos turned to the executive at Glenwood, which develops rental apartments in New York City and has much at stake when it comes to real estate legislation in Albany. The senator urged him to direct business to his son, who sold title insurance.

After much prodding, the executive, Charles C. Dorego, engineered a $20,000 payment to Adam Skelos from a title insurance company even though he did no work for the money. But far more lucrative was a consultant position that Mr. Dorego arranged for Adam Skelos at AbTech, which seeks government contracts to treat storm water. (Mr. Dorego is not identified by name in the complaint, but referred to only as CW-1, for Cooperating Witness 1.)

Senator Skelos appeared to take an active interest in his son’s new line of work. Adam Skelos sent him several drafts of his consulting agreement with AbTech, the complaint says, as well as the final deal that was struck.

“Mazel tov,” his father replied.

Senator Skelos sent relevant news articles to his son, including one about a sewage leak near Albany. When AbTech wanted to seek government contracts after Hurricane Sandy, the senator got on a conference call with his son and an AbTech executive, Bjornulf White, and offered advice. (Like Mr. Dorego, Mr. White is not named in the complaint, but referred to as CW-2.)

The assistance paid off: With the senator’s help, AbTech secured a contract worth up to $12 million from Nassau County, a big break for a struggling small business.

But the money was slow to materialize. The senator expressed impatience with county officials.

Adam Skelos, in a phone call with Mr. White in late December, suggested that his father would seek to punish the county. “I tell you this, the state is not going to do a [expletive] thing for the county,” he said.

Three days later, Senator Skelos pressed his case with the Nassau County executive, Edward P. Mangano, a fellow Republican. “Somebody feels like they’re just getting jerked around the last two years,” the senator said, referring to his son in what the complaint described as “coded language.”

The next day, the senator pursued the matter, as he and Mr. Mangano attended a wake for a slain New York City police officer. Senator Skelos then reassured his son, who called him while he was still at the wake. “All claims that are in will be taken care of,” the senator said.

AbTech’s fortunes appeared to weigh on his son. At one point in January, Adam Skelos told his father that if the company did not succeed, he would “lose the ability to pay for things.”

Making matters worse, in recent months, Senator Skelos and his son appeared to grow wary about who was watching them. In addition to making calls on the burner phone, Adam Skelos said he used the FaceTime video calling “because that doesn’t show up on the phone bill,” as he told Mr. White.

In late February, Adam Skelos arranged a pair of meetings between Mr. White and state senators; AbTech needed to win state legislation that would allow its contract to move beyond its initial stages. But Senator Skelos deemed the plan too risky and caused one of the meetings to be canceled.

In another recorded call, Adam Skelos, promising to be “very, very vague” on the phone, urged his father to allow the meeting. The senator offered a warning. “Right now we are in dangerous times, Adam,” he told him.

A month later, in another phone call that was recorded by the authorities, Adam Skelos complained that his father could not give him “real advice” about AbTech while the two men were speaking over the telephone.

“You can’t talk normally,” he told his father, “because it’s like [expletive] Preet Bharara is listening to every [expletive] phone call. It’s just [expletive] frustrating.”

“It is,” his father agreed.

Dean Skelos, Albany Senate Leader, Aided Son at All Costs, U.S. Says

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