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Enter the Fisher Z transformation value or correlation coefficient (r) into the calculator to convert between the two. This calculator supports conversion from Z to r and from r to Z.
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Loading new calculator, please allow some time. For complex changes, this may take up to 90 seconds'; w.appendChild(o);}function hideLoadingOverlay(w){ w.querySelector('.loading-overlay')?.remove(); w.querySelector('textarea').style.opacity='1'; }async function generateAndDisplayCalculator(descField, origForm, pageTitle){ const d=descField.value.trim(); if(!d){ alert('Please enter a description for the calculator.'); return; } const gen=await generateCode(d, origForm, pageTitle); gen ? displayGeneratedCalculator(gen, origForm) : alert('Failed to generate the calculator. Please try again.');}async function generateCode(description, origForm, pageTitle){ const formHTML = origForm.outerHTML; const calcFn = typeof calculate==='function' ? calculate.toString() : 'function calculate(){}'; const codeReq = `${description}\n\nContext Form:\n${formHTML}\n\nForm JavaScript:\n${calcFn}`; const opts = { method:'POST', headers:{'Content-Type':'application/json'}, body:JSON.stringify({code_request:codeReq,userInput:description,title:pageTitle}) }; try{ const res = await fetch(`${window.location.origin}/wp-json/in-page-user-adjustment/v1/generate`,opts); const dat = await res.json(); return res.ok ? (dat.generatedCode || (dat.choices?.[0].message.content.trim())) : null; }catch(err){ console.error('Network error:',err); return null; }}function displayGeneratedCalculator(genCode, origForm){ origForm.style.display='none'; const iframe=document.createElement('iframe'); iframe.id='dynamicCalculatorIframe'; iframe.sandbox='allow-scripts allow-same-origin'; iframe.style.width='100%'; iframe.style.minHeight='700px'; iframe.style.border='none'; iframe.srcdoc=`
${genCode}
`; origForm.parentNode.insertBefore(iframe, origForm.nextSibling);}/* ---------- Chatbot logic ---------- */document.addEventListener('DOMContentLoaded',()=>{ const chatHistory=[], chatBox=document.getElementById('chat-messages'), input=document.getElementById('chat-input'), sendBtn=document.getElementById('chat-submit'); let first=true, context=getPageContext(); function getPageContext(){ let ctx='Page Title: '+document.title+'\n'; const meta=document.querySelector('meta[name="description"]'); if(meta) ctx+='Meta Description: '+meta.content+'\n'; document.querySelectorAll('h1,h2,h3').forEach(h=>ctx+=`${h.tagName}: ${h.textContent.trim()}\n`); const main=document.querySelector('article'); ctx+= (main?'Main Content: ':'Page Text: ')+ (main||document.body).innerText.substring(0,1000)+'\n'; return ctx; } function appendEl(text,cls='',align='left'){ const d=document.createElement('div');d.textContent=text; if(cls) d.className=cls; d.style.textAlign=align; d.style.marginBottom='5px'; chatBox.appendChild(d); chatBox.scrollTop=chatBox.scrollHeight; } async function send(){ const msg=input.value.trim(); if(!msg) return; input.value=''; appendEl(msg,'','right'); chatHistory.push({role:'user',content:msg}); const loading=document.createElement('div');loading.textContent='Loading...'; loading.style.textAlign='center'; chatBox.appendChild(loading); const payload={chatHistory,newMessage:msg}; if(first){payload.context=context; first=false;} try{ const res=await fetch(`${window.location.origin}/wp-json/my-chatbot-plugin/v1/generate`, {method:'POST',headers:{'Content-Type':'application/json'}, body:JSON.stringify({code_request:JSON.stringify(payload)})}); if(!res.ok) throw new Error('Network error'); const data=await res.json(); chatBox.removeChild(loading); const reply=data.choices?.[0].message.content || 'No response from API.'; chatHistory.push({role:'assistant',content:reply}); appendEl(reply,'chatbot-response'); }catch(e){ chatBox.removeChild(loading); appendEl('Failed to fetch response.','','center'); } } sendBtn.addEventListener('click',send); input.addEventListener('keypress',e=>e.key==='Enter'&&send()); input.focus();});
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Z Score To R Formula
The following formulas are used to calculate the correlation coefficient (r) from the Fisher Z transformation (Z) and vice versa.
r = (e^(2Z) - 1) / (e^(2Z) + 1)
Z = 0.5 * ln((1 + r) / (1 - r))
Variables:
- r is the correlation coefficient (–1 ≤ r ≤ 1)
- Z is the Fisher Z transformation value
- e is Euler’s number (~2.71828)
What is Z Score To R?
Fisher’s Z transformation is used in statistics to stabilize the variance of the correlation coefficient r. It transforms r, which ranges between −1 and 1, into Z on an infinite scale. The inverse transformation converts Z back to r.
How to Calculate Z Score To R?
Use the calculator above or follow these steps to convert between r and Z.
- Enter the known value (either Z or r).
- Click the Calculate button.
- The missing variable will be displayed in its field.
- If needed, click Reset to clear the fields before a new calculation.
- Ensure correlation coefficient r is between –1 and 1 for valid results.
Example Problem:
Calculate the correlation coefficient (r) for a Fisher Z value of 0.5493.
Fisher Z value (Z) = 0.5493
Apply the formula: r = (e^(2 × 0.5493) − 1)/(e^(2 × 0.5493) + 1) ≈ 0.5
