Procedure

Visual/graphical analysis is the simplest way to check stationarity.

Step 1: Plot Time Series

Create a time series plot of vs

Step 2: Examine Mean

Look for:

  • Constant horizontal band around zero → stationary mean possible
  • Upward/downward trend → non-stationary mean

Step 3: Examine Variance

Look for:

  • Constant spread over time → stationary variance possible
  • Increasing/decreasing spread → non-stationary variance

Step 4: Check for Seasonality

Look for:

  • Regular patterns at fixed intervals → seasonal component present

Subjective

Visual analysis is subjective. Always confirm with formal tests (ADF, Ljung-Box).

Decision

ObservationAssessment
Constant mean & variancePossibly stationary → confirm with tests
Trend presentNon-stationary → consider differencing
Changing varianceNon-stationary → consider transformation
Regular patternsSeasonal → consider seasonal model